A bicycle wheel 67.0 [cm] in diameter rotates about its central axis with a constant angular acceleration of 4.48 [rad/s2]. It starts from rest at time t =0 [s], and a reference point on the wheel's rim P makes an angle of 60.0° above the horizontal at this time. When the wheel starts rotating, at time t=3.70 [s], A. what is the magnitude of the tangential acceleration of the wheel's rim? B. what is the angular speed of the wheel's rim? C. what is the tangential speed of the wheel's rim?
Simple harmonic motion
Simple harmonic motion is a type of periodic motion in which an object undergoes oscillatory motion. The restoring force exerted by the object exhibiting SHM is proportional to the displacement from the equilibrium position. The force is directed towards the mean position. We see many examples of SHM around us, common ones are the motion of a pendulum, spring and vibration of strings in musical instruments, and so on.
Simple Pendulum
A simple pendulum comprises a heavy mass (called bob) attached to one end of the weightless and flexible string.
Oscillation
In Physics, oscillation means a repetitive motion that happens in a variation with respect to time. There is usually a central value, where the object would be at rest. Additionally, there are two or more positions between which the repetitive motion takes place. In mathematics, oscillations can also be described as vibrations. The most common examples of oscillation that is seen in daily lives include the alternating current (AC) or the motion of a moving pendulum.
A bicycle wheel 67.0 [cm] in diameter rotates about its central axis with a constant
A. what is the magnitude of the tangential acceleration of the wheel's rim?
B. what is the angular speed of the wheel's rim?
C. what is the tangential speed of the wheel's rim?
D. what is point P's new angular position from the horizontal in radians?
At t=1.50 [s], a small, 92.5 [g] pebble got stuck on the rim of the wheel.
E. What is the pebble's moment of inertia with respect to the wheel's axis of rotation?
F. At t=3.70 [s], what is the pebble's rotational kinetic energy?
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D. what is point
At t=1.50 [s], a small, 92.5 [g] pebble got stuck on the rim of the wheel.
E. What is the pebble's moment of inertia with respect to the wheel's axis of rotation?
F. At t=3.70 [s], what is the pebble's rotational kinetic energy?
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