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Classical mechanics doesn't just describe how an object's position behaves under external influences, but also how its orientation behaves. Using the same principles found in Newtonian mechanics, laws and relations governing rotation can also be derived. Please direct all your questions about moments of inertia, angular velocity, angular momentum, centripetal force, centrifugal force, torque, and spin here.

645 Questions

What is the difference between torque and horsepower in automobiles?

By Karl Brauer, Editor in Chief, Edmunds.com While horsepower is often considered when shopping for a vehicle, what about that "other" engine rating: torque? Specifically, what are the differences between horsepower and torque? If you flip through the pages of any automotive publication, you'll notice that these two measurements are commonly listed under vehicle specifications. And while the average car enthusiast knows that both horsepower and torque play a role in performance, most of them don't understand exactly how or why. Let's begin by explaining the technical difference between the two. Horsepower is defined as the amount of energy required to lift 550 pounds, one foot, in one second. From this definition you can see that the components of horsepower are force, distance and time. Distance and time are self-explanatory but force, specifically a twisting force, is what torque is all about. Remember that the initial energy that moves a car forward starts in the combustion chamber in the form of an explosion. This explosion forces a piston (or group of pistons) down in a straight line, which pushes on a connecting rod and turns the engine's crankshaft. It's this turning crankshaft where the twisting force of torque initiates. From there the force is carried through a flywheel, transmission, driveshaft, axle(s) and wheel(s) before moving the car. The measurement of torque is stated as pound-feet and represents how much twisting force is at work. If you can imagine a plumber's pipe wrench attached to a rusty drainpipe, torque is the force required to twist that pipe. If the wrench is two feet long, and the plumber pushes with 50 pounds of pressure, he is applying 100 pound-feet of torque (50 pounds x 2 feet) to turn the pipe (depending on the level of rust, this may or may not be enough torque). As you may have noticed, this measurement of torque does not include time. One-hundred pound-feet of torque is always 100 pound-feet torque, whether it is applied for five seconds or five years. So, if you want a quick answer to the difference between horsepower and torque, just keep in mind that horsepower involves the amount of work done in a given time, while torque is simply a measurement of force and is thus a component of horsepower. To see how torque and horsepower interact, imagine your favorite SUV (everyone has one of those, right?) at the base of a steep hill. The engine is idling and the gear lever is in the "Four-Low" position. As the driver begins to press on the throttle, the engine's rpm increases, force is transmitted from the crankshaft to each wheel, and the SUV begins to climb upward. The twisting force going to each wheel as the vehicle moves up the hill is torque. Let's say the engine is at 3,000 rpm, the gear ratio is 3, and the vehicle is creating 300 pound-feet of torque. Using the following formula, we can calculate horsepower: Take the torque of 300 multiplied by a shaftspeed of 1000 (3000 rpm divided by a gear ratio of 3) for a total of 300,000. Divide 300,000 by 5,252 and you get 57.1 horsepower that the SUV is making as it begins to ascend the hill. It is interesting to note that, since 5,252 is used to calculate horsepower by way of torque and shaftspeed, it is also the number in the rpm range at which torque and horsepower are always equal. If you were to view the horsepower and torque curves of various engines, you would notice that they always cross at 5,252 rpm. So now we have a technical understanding of how torque interacts with horsepower, but let's move beyond that to some real-world examples. For instance, we all know that a car moves from a dead stop in 1st or low gear, yet as the car's speed increases, the gears must be moved up through 2nd, 3rd and 4th to maintain acceleration. This is because at low speeds the transmission's gears work to transmit maximum torque from the engine to the wheels. You want this because it takes more force, or torque, to move a vehicle that is at rest than it does to move a vehicle in motion (Newton's 1st Law). At the same time, once a vehicle is underway, you want less torque and more horsepower to maintain a high speed. This is because horsepower is a measurement of work done and includes a time element (such as wheel revolutions per minute necessary to maintain 75 mph). Since entire books have been written on the concepts of horsepower and torque, it's not realistic to try and cover them fully in a single column. Finally, let me leave you with my favorite phrase about the relationship between horsepower and torque: Horsepower is what you read about, torque is what you feel.

What is velocity?

Velocity is a vector quantity that describes the rate of change of an object's position. It is defined as the displacement of an object per unit of time in a specific direction. In simpler terms, velocity tells us how fast and in what direction an object is moving.

What is the torque value in in-lbs to turn a door knob?

Torque= length x force. Lenght is the distance to an object. Force must be perpendicularly acting on the object. In your question, you did not specify neither force and length of the knob. So I cannot give you a torque value. I believe the SI unit for torque is "Nm", assuming that you calculated your torque using all SI units. Then you have to convert Nm to pounds.

What would happen if a disk one light second in circumference were to spin at 60 RPM?

60 revolutions per minute is one revolution per second.

1 light second is the distance light travels in one second.

What this means is that points on this hypothetical disk's perimeter would need to travel at the speed of light to satisfy your conditions. This cannot happen for anything that has mass.

Bottom line: a disk this size could not spin at this speed.

The answer to your question is that it would spin at the speed of light (It is hypothetical, so it doesn't matter that nothing can spin at that speed).

The shear forces would be so high before it could accelerate significantly that the disk would cease being solid and would break into trillions of tiny pieces. There is an awful lot of inertia in the outer rim of a disk that large! If it were created already spinning at that speed (by some miracle) it would take a practically infinitesimal time for centrifugal forces to make it explode violently into trillions of tiny pieces.

How does the Coriolis force effect modify air movement?

The Coriolis force deflects moving air to the right in the Northern Hemisphere and to the left in the Southern Hemisphere due to Earth's rotation. This deflection influences the direction of air movement, creating unique patterns like the trade winds and westerlies in the global circulation system, as well as impacting the formation of weather systems and ocean currents.

Affects of rotation of the earth when shooting a gun?

if you are riding in a car and you toss up a baseball, the baseball will come right back down no matter how fast the car is going. The same thing applies to the bullet, the earth adds velocity to the bullet. The difference is that the earth is not moving at the same speed everywhere. Near the poles, the earth's tangential rotational speed is pretty small compared to its speed near the equator. So if you were to fire a very large gun from the equator northward, the bullet will be in the air for a significant period of time. In that amount of time, the earth may rotate, say, 15o. The source will have moved nearly 1700 kilometers in that time. if the bullet lands at the 60th parallel, the destination point will have moved only half as much- nearly 850 kilometers. To a spy satellite rotating with the earth (in geosynchronous orbit), this would seem just normal, but if you were to map the path of the bullet on a 2-dimensional (flat) map of the earth, it would look very strange, as if an "invisible force" were acting on that bullet. This phenomenon is called the Coriolis Effect. One of the biggest practical applications of the Coriolis Effect occured during WWI, when the Germas attempted to use the Paris Gun, which had a range of 75 miles.

What is an angular speed of a rotating body?

Angular velocity is given as radians per second; angular speed is also the same thing. Velocity is a vector with magnitude and direction and speed a scalar with magnitude only. The magnitude is identical; velocity will define the direction of rotation ( clockwise or counterclockwise).

If a airplane is traveling 600 mph and the earth is traveling 1000 mph how do you get from one point to another when traveling in the same direction as the rotation of the earth?

When the Earth is traveling, everything on the Earth is traveling with it, in the same frame of reference.

For example, when you are in a car or an airplane and you flip a coin in the air, the coin doesn't shoot backwards. Or, notice that when you jump upwards that the Earth didn't move from under you when you jumped.

How is torque different from other forces?

Torque, also called moment or moment of force, is the tendency of a force to rotate an object about an axis,fulcrum, or pivot. Just as a force is a push or a pull, a torque can be thought of as a twist.In more basic terms, torque measures how hard something is rotated

Centripetal force is a force that makes a body follow a curved, as opposed to straight, path; it is always directed orthogonal to the velocity of the body, toward the instantaneous center of curvature of the path.

What is the angular displacement of six revolutions?

1 all-the-way-around is 360 degrees

2 revolutions = 720 degrees

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6 revolutions = 2,160 degrees

When the mass and the radius are held constant what happens to the centripetal force if the frequency of the rotation is increased?

One formula to calculate centripetal acceleration is:

a = omega2r, where omega is the angular velocity.

Combining this with Newton's Second Law:

F=ma

you get:

F = m omega2 r

For completeness sake, omega (in radians per second) = 2 pi f (2 x pi x the frequency,

in revolutions / second). Thus, omega and the frequency are proportional.

As you can see, the force is proportional to the square of the angular velocity.

For example, doubling the frequency would cause double the angular velocity,

which would require an increase of the force by a factor of 4.

Does the centripetal force act as an unbalanced force on the satellite in orbit?

Yes. According to Newton's Second Law, there has to be an unbalanced force - otherwise, the satellite won't accelerate (in this case, change direction).

What is principle of fly wheel?

The principle of a flywheel is to store energy as rotational kinetic energy, which can then be used to regulate the speed and smooth out fluctuations in a machine's operation. By harnessing the inertia of a rotating mass, the flywheel helps maintain momentum and steady rotation, providing stability and reducing energy fluctuations within a system.

What is the average speed of a boomerang?

The average speed of a boomerang can vary depending on its design and the force with which it is thrown, but it typically reaches speeds of around 20 to 30 miles per hour (32 to 48 kilometers per hour) during flight. Some skilled throwers can achieve higher speeds, particularly with specialized boomerangs. The unique shape and aerodynamics of a boomerang allow it to return to the thrower, which influences its speed and flight path.

How do you convert linear displacement into angular displacement?

To convert linear displacement (s) into angular displacement (θ), you can use the relationship between the two, given by the formula θ = s / r, where r is the radius of the circular path. This formula indicates that the angular displacement in radians is equal to the linear displacement divided by the radius. Thus, knowing the radius allows you to translate how far an object has moved linearly along a circular path into how far it has rotated.

What is the angular momentum of the 2.6 kg 5.6 cm diameter rotating disk.?

Without knowing the angular speed, i.e. RPM or some such velocity, it is not possible to answer the question. Please restate the question, giving all of the required information.

Which will have the greater acceleration rolling down an incline plane- a large ball or a small ball?

The small ball will have a greater acceleration rolling down an incline plane because it has less mass and experiences less inertia. This means that the force of gravity can accelerate the small ball more easily than the large ball.

Why do people not fly off the surface of the rotating earth into space?

Because the gravitational force between the earth and each person is sufficient

centripetal force to maintain circular motion with a radius equal to the Earth's

equatorial radius and angular velocity of (pi/12) radians per hour.

Most of the angular momentum of the solar system is found in the?

The majority of the angular momentum of the solar system is found within the orbital motion of the planets around the Sun. This motion results in the spinning of the planets on their axes and the overall rotation of the solar system as a whole.

What is the difference between rolling and rotation?

When an object rolls the center of gravity (or of geometry - or both depending on the shape of the object) translates (moves) along a path and there is a point of contact with a surface on the perimeter of the object, rotation (angular change) does occur too.

During rotation the center of gravity could be motionless and there is probably no point of contact with any surface; the movement is purely angular.

What is the symbol of angular velocity?

The lowercase Greek letter "omega" is often used - it looks like a rounded "w". (When this symbol is used, angular velocity is usually specified in radians per second.)

The lowercase Greek letter "omega" is often used - it looks like a rounded "w". (When this symbol is used, angular velocity is usually specified in radians per second.)

The lowercase Greek letter "omega" is often used - it looks like a rounded "w". (When this symbol is used, angular velocity is usually specified in radians per second.)

The lowercase Greek letter "omega" is often used - it looks like a rounded "w". (When this symbol is used, angular velocity is usually specified in radians per second.)

How can be coriolis acceleration calculated?

Coriolis acceleration can be calculated using the formula 2ω x v, where ω is the angular velocity vector and v is the velocity vector of the object in motion. The cross product of these two vectors gives the Coriolis acceleration acting on the object due to the rotation of the reference frame.

Rotational tendency of force?

The rotational tendency of a force is referred to as torque. Torque is the measure of the force's effectiveness at rotating an object and is calculated as the product of the force applied and the lever arm distance from the axis of rotation. It is a vector quantity that determines the rotational motion of an object.

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