Can a small force ever exert a greater torque than a larger force?
Of course. Torque is the product of the (force) times (its distance from the axle).
If the force you have doesn't produce enough torque, you simply apply the same
force farther from the axle, and that increases the torque.
That's why, if you can't crack the nut with the wrench you have and the
strength you have, you slip a piece of pipe over the handle and make the
wrench look twice as long. In that way, you have temporarily transformed the
wrench into a "Persuader", and the nut is highly likely then to be persuaded.
If you can arrange for the small force to be exerted at a long enough distance
from the axle, it can apply as much or more torque than the larger force can
when applied closer in.
What is the right-hand rule for angular displacement?
The right-hand rule for angular displacement states that if you align your fingers in the direction of rotation, your thumb points in the direction of the angular displacement vector. This rule helps determine the direction of rotation or angular displacement in a given scenario.
What is the relationship between radial force and angular velocity squared?
The relationship between radial force and angular velocity squared is described by the centripetal force equation, which states that the radial force required to keep an object moving in a circular path is equal to the mass of the object times the square of its angular velocity, multiplied by the radius of the circular path. This relationship shows that an increase in angular velocity will result in a corresponding increase in the radial force needed to maintain the object's circular motion.
What is the difference between linear and angular kinematics?
Linear kinematics refers to the motion of an object along a straight line, where variables like position, velocity, and acceleration are in one dimension. Angular kinematics, on the other hand, deals with the motion of an object in a circular path, where variables like angular displacement, angular velocity, and angular acceleration are used to describe the motion in a rotational system.
When is net force zero but torque is not?
When multiple forces acting on an object cancel each other out, resulting in a net force of zero, but those forces are not aligned to pass through the object's center of mass, causing a torque to be present. This situation can occur when forces are exerted at different distances from the center of mass, creating a rotational effect even though the object remains stationary.
What does centrifugal force effect?
Centrifugal force is a fictitious force that appears in a rotating frame of reference. It tends to push objects away from the center of rotation. This effect is often observed in mechanical systems like centrifuges and amusement park rides.
An example of centripetal acceleration?
One example of centripetal acceleration is when a car goes around a curve on a road. The car accelerates towards the center of the curve due to the centripetal force required to keep it moving in a curved path.
What is angular speed of second hand mint hand and hour hand calculated angular velocity?
Second hand . . . 360 degrees per minute
Minute hand . . . 360 degrees per hour
Hour hand . . . 360 degrees per 12 hours = 30 degrees per hour
Torque is the combination of perpendicular distance and weight; it is not a true force
Is Angular accelration is produced by torque?
no angular acceleration is not producd by torque is a factor of torque T= anguar aceleration X momentum
I say yes, because torque is another word for a couple that is equivalent to two equal parallel forces in opposite directions but separated by a distance. Torque acting on an inertia produces angular acceleration exactly as a force acting on a mass produces linear acceleration. Actually the answer above does not make much sense to me. Angular momentum is the angular rotation speed times the inertia. Finally inertia is the sum of all the bits of mass each multiplied by the square of distance from the inertial centre.
Can centripetal force produce rotation?
Yes, centripetal force is required to maintain rotational motion by pulling an object towards the center of the rotation. Without centripetal force, the object would move in a linear path rather than rotating.
What is the difference between magnetic moment and angular momentum?
Magnetic moment refers to the property of a magnet or a current-carrying loop to produce a magnetic field, while angular momentum is a measure of the rotational motion of an object. In terms of physical quantity, magnetic moment is a vector quantity, while angular momentum is a vector quantity as well.
The angular momentum of the mass m with respect to the origin, in this case, would be zero. This is because the mass is moving parallel to the x-axis, so its position vector relative to the origin does not change with time. As angular momentum is defined as the cross product of the position vector and the linear momentum, and in this case, the position vector does not change, the angular momentum is zero.
The angular velocity of the ferris wheel is 2π radians every 8 seconds, which is equivalent to 0.7854 radians per second. The centripetal acceleration is calculated using the formula a = rω^2, where r is the radius and ω is the angular velocity. Substituting the values, we get a = 12 m * (0.7854 rad/s)^2 ≈ 7.46 m/s^2.
What Compare the effects of a force and a torque exerted an object?
A force is a push or pull that causes a change in an object's linear motion, such as moving it in a straight line. A torque is a twisting force that causes an object to rotate around an axis. While a force can change an object's position, a torque specifically affects its orientation or rotational motion.
What is the relationship of centrifugal force and centripetal force with inertia?
Centrifugal force and centripetal force are both related to inertia. Centrifugal force is the outward "apparent" force experienced in a rotating frame of reference, caused by inertia trying to keep an object moving in a straight line. Centripetal force is the inward force that keeps an object moving in a circular path, acting in opposition to the centrifugal force and also related to inertia as it is required to overcome an object's tendency to move in a straight line.
say your mass (m) is 100 kg
velocity (v) at equator = 40 030 000 / 86164 = 464.6 metres / sec
earth radius(r) = 6 371 000 metres
acceleration due to gravity at earths surface (g) = 9.82 (m/s)/s
.
gravity force at earth surface ( f = m * g) = 100 * 9.82 = 982 newtons
.
centripetal force at equator f = m * ((v^2)/r)
f = 100 * ((464.6^2)/6 371 000)
f = 3.39 newtons
Axis rotation refers to the process of rotating an object around a specific axis or line. This type of rotation can occur in various dimensions, such as 2D or 3D, and is commonly used in mathematics and computer graphics to manipulate objects. Axis rotation allows for precise control over the orientation of an object in space.
How may the torque of a given force be increased?
To increase the torque of a given force, you can increase the distance from the pivot point (lever arm). This is because torque is the product of force and lever arm length. Increasing either the force or the lever arm length will increase the torque.
How it is possible for a large force to produce only a small or even zero torque?
A large force can produce a small or zero torque if the force is applied at a point where the lever arm (distance from the point of rotation to the line of action of the force) is very small or zero. Torque is calculated as force multiplied by lever arm, so a small lever arm can result in a small or zero torque even with a large force.
The acceleration that occurs in circular motion?
The acceleration that occurs in circular motion is called centripetal acceleration. It is directed towards the center of the circle and is responsible for keeping an object moving in a circular path. Centripetal acceleration is required because the direction of an object's velocity is constantly changing in circular motion.
Does the world spin faster than an aeroplane?
No, the Earth spins at a constant rate, typically around 1,000 miles per hour at the equator, while airplanes travel at variable speeds depending on the aircraft and conditions. Generally, airplanes fly much slower than the speed at which the Earth rotates.
Is angular displacement and angular velocity the same?
No, angular displacement refers to the change in angle of an object relative to a reference point, while angular velocity is the rate at which an object changes its angle over time. Angular displacement is a scalar quantity, measured in radians, while angular velocity is a vector quantity with direction and magnitude, measured in radians per second.
If something shrinks in size but not in mass what happens to its angular momentum?
Angular momentum is maintained in such a case - and in fact in all cases, unless angular momentum is transferred to, or from, another body. This means it must rotate faster.
Angular momentum is maintained in such a case - and in fact in all cases, unless angular momentum is transferred to, or from, another body. This means it must rotate faster.
Angular momentum is maintained in such a case - and in fact in all cases, unless angular momentum is transferred to, or from, another body. This means it must rotate faster.
Angular momentum is maintained in such a case - and in fact in all cases, unless angular momentum is transferred to, or from, another body. This means it must rotate faster.
The relationship between those four can be found from using the original centripetal force equation, Fc = (mv2)/r.
Since we know v=d/t, we can sub that into the equation to get Fc=(md2)/(rT2), where T is actually the period.
Now, we know the distance it travels is in a circular motion, so we can assume the distance it travels is equal to the circumference of that circle. Since we know that equation to be d=2Ï€r, we can sub that into our equation to make Fc=(m[2Ï€r]2)/(rT2). Expand that square brackets to make Fc=(m4Ï€2r2)/(rT2). After cancelling one radius from the top and bottom, you are left with the final equation:
Fc=(m4Ï€2r)/T2, where m = the mass of the revolving object, r = radius of the curvature, and T = rotation period of the revolving mass.