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Rotation
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
How we can find the direction of angular displacement?
'Angular displacement' is the angle by which the secondary line-to-line voltage lags the primary line-to-line voltage. It can be directly measured by constructing a phasor-diagram for the primary and secondary line-voltages for a three-phase transformer.
How is centrifugal force measured?
Centrifugal force is a perceived force that arises when an object is moving in a curved path. It is not a force that can be measured directly. Instead, it can be calculated based on the mass of the object, its speed, and the curvature of its path using physics principles.
Why is angular momentum represented by the letter L?
The letter L was chosen to represent angular momentum because of its relation to the angular velocity ω in the formula for angular momentum L = Iω, where I is the moment of inertia of an object. It is a convention used in physics to provide a clear and consistent way to represent this physical quantity.
To overcome inertia, you can start by setting small, achievable goals to build momentum and create a sense of accomplishment. Break down tasks into smaller steps to make them more manageable. Setting a routine or schedule can also help to create consistency and motivate you to keep moving forward. Finally, try to eliminate distractions and focus on the task at hand to reduce resistance to getting started.
A drive shaft is a tubular piece of pipe, usually made of metal. The shaft extends from the back of the transmission to the real axle and is considered part of the drive train. It is what delivers the power from the motor and transmission to the rear axle and tires.
What is the define of centripetal force?
Centripetal force is the force that acts on an object moving in a circular path, directing it towards the center of the circle. It is responsible for keeping an object in circular motion instead of flying off in a straight line. Mathematically, centripetal force is calculated as the mass of the object times its centripetal acceleration.
How does thE centrifugal force is related to centripetal force?
Centrifugal force is the perceived outward force experienced by an object in a rotating reference frame, while centripetal force is the force that keeps an object moving in a circular path towards the center of rotation. The two forces are related in that centripetal force is responsible for providing the necessary inward acceleration to keep an object moving in a circular path, while centrifugal force is an apparent outward force experienced due to inertia.
Why does boiling water spin objects?
Boiling water creates convection currents, where hot water rises and cooler water sinks. When you place an object in the boiling water, the convection currents cause the object to spin as the water moves around it.
When torque is applied does it always accomplish work?
No, torque is a twisting force that can be applied to an object without necessarily resulting in work being done. For work to be accomplished, the torque must cause the object to rotate and move a distance in the direction of the force.
What is the centripetal force that follows a car to move around a sharp curve in a roadway?
The centripetal force (f) can be calculated from:
.
f = m * (v^2 / r ) , where.
.
m = mass of car (say 1 000 kg)
v = velocity (say 30 metres / second)
r = curve radius to centre of gravity of car ( say 50 metres)
so:
f = 1000 * (900 / 50) = 18 000 newtons
What is the defenation of angular displacement?
Angular displacement is the angle in radians through which a point or line has been rotated in a specified sense about a specified axis. It is a measure of how far an object has rotated, typically measured from a reference point or axis.
The net force on an object moving with constant speed in circular motion is in which direction?
The net force on an object moving with constant speed in circular motion is directed towards the center of the circle. This force is called the centripetal force and is required to keep the object moving in a circular path instead of moving in a straight line.
What is angular velocity and radial velocity?
Angular velocity is the rate of change of angle of a body, i.e.
omega =
v / r =
(2*pi*r)/ r*t
=
(2*pi)/ T
where T is the time period of whatever is rotating and r is the radius of the circle.
So if a circular disc is spinning at 1 m/s then the angular velocity of it is 2*pi radians/ second
Radial velocity is the velocity in m/s at the radius of the circle i.e.
radial velocity v =
omega*r
=
(2*pi*r)/ T
(equivalent to speed =
distance/ time where in this case distance is the circumference of the circle and time is the time period of one rotation)
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Angular velocity ω, i
s the rate of change of angular displacement dφ
/dt
. Itspecifies the angular speed (rotational speed) of an object and the axis about which the object is rotating.
ω =
2
πf
=2
π/T [=]
rad/s
where f is the rotation frequency (rev/s) and T the time it takes to make a
revolution (s/rev).
Tangential velocity v. When an object rotates around in a circle with radius r, its
linear velocity tangent to the circle is the tangent velocity v.
v =
ωr
[=]
m/s
Radial velocity vr, is the component of the velocity of an object away or
toward
the origin or point of observation.
When you observe an object moving in a circle what can you infer about the net force acting on it?
The net force is directed toward the center of the circular path that the object is moving along, and it has a magnitude equal to the velocity squared times mass divided by the radius of the path. (mv^2/r)
Is centripetal force is acting when ab body is moving in stright line?
No, centripetal force is not acting when a body is moving in a straight line. Centripetal force is required to keep an object moving in a curved path.
Yes, suppose a body is rotating anti-clockwise, then its angular velocity and angular momentum, at any moment are along axis of rotation in upward direction. And when body is rotating clockwise, its angular velocity and angular momentum are along axis of rotation in downward direction. This is regardless of the fact whether angular velocity of the body is increasing or decreasing.
Is acceleration uniform in uniformly circular motion?
No, acceleration is not uniform in uniformly circular motion. In uniformly circular motion, the direction of the velocity vector is constantly changing, which means there is always a centripetal acceleration acting towards the center of the circle. This centripetal acceleration is not constant in magnitude, making the overall acceleration not uniform.
What is the relation between stiffness and angular velocity?
The stiffness of a system affects how it resists deformation when a force is applied. As angular velocity increases, the deformation of a system may change due to the increased speed at which the system is rotating. In some cases, an increase in angular velocity may lead to a decrease in stiffness as the system experiences greater deformation.
When driving when is centrifugal force a problem?
Centrifugal force can be a problem when taking sharp turns at high speeds, as it can cause the vehicle to lose traction and potentially skid off the road. This force is experienced when a vehicle is turning, pushing it outward from the center of the turn, which can lead to instability if not managed properly. It's important to adjust speed, brake before entering the turn, and steer smoothly to counteract centrifugal force.
Rotation motion occurs when an object spins around an axis, causing it to move in a circular path. This type of motion is commonly observed in objects such as wheels, planets, and rotating machinery. Rotation motion can be described in terms of angular velocity, which measures the rate of rotation.
Can small force exert greater torque?
Not exactly,torque is the force that affects rotational motion; the greater the torque, the greater the change in rotational motion. It is always specified with regard to the axis of rotation.
Derive equation between angular and linear acceleration?
Since angular acceleration is in radians per second squared, which is change in angular speed over time, we know that α=ω/t, where α is angular acceleration, ω is angular speed, and t is time (assuming α is constant.)
ω is measured in radians per second. If me multiply ω by r, which is the radius of the circle the object is acceleration around, we get ωr, which has units of (radians*radius)/second. Since the angle in radians times the radius gives the distance, these units are equivalent to meters/second, so ωr = v.
Therefore, α=(v/r)/t=v/rt.
Acceleration (a) is v/t, so α=(v/t)(1/r)=a/r.
The equation would then be:
α=a/r, or a=rα (Where α is angular acceleration, a is acceleration, and r is the radius.)
What is the Angular velocity of hour hand?
The angular velocity of the hour hand is 0.5 degrees per minute, because the hour hand completes a full rotation of 360 degrees in 12 hours.
Why is mass used to represent inertia?
Because after much investigation, experiment, and experience, in laboratories
of Physics all over the world, it has been determined that there is more inertia
where there is more mass, and less inertia where there is less mass. Moreover,
through careful measurement, it has been possible to quantify the relationship,
and to demonstrate, analytically and conclusively, that intertia is precisely and
directly proportional to mass, and that where there is no mass, inertia is zero.
Be that as it may, and when all is said and done, it became clear that mass is
like unto no other quantity as a worthy and proper surrogate for inertia.
The source of the centripetal force that keeps the child moving in a circle is tension in the rope or the father's grip. This force is directed towards the center of the circular motion and prevents the child from flying off tangentially. Gravity and weight also play a role in the overall forces acting on the child but are not the direct source of the centripetal force in this scenario.
