An electric ceiling fan is rotating about a fixed axis with an initial angular velocity magnitude of 0.230 rev/s . The magnitude of the angular acceleration is 0.883 rev/s2 . Both the the angular velocity and angular accleration are directed counterclockwise. The electric ceiling fan blades form a circle of diameter 0.730 m . Compute the fan's angular velocity magnitude after time 0.201 s has passed. Through how many revolutions has the blade turned in the time interval 0.201 s from Part A? What is the tangential speed vt of a point on the tip of the blade at time t = 0.201 s ? Calculate the magnitude at of the tangential acceleration of a point on the tip of the blade at time t = 0.201 s . Calculate the magnitude ar of the radial (or centripetal) acceleration of the point at the end of the fan blade.
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.
An electric ceiling fan is rotating about a fixed axis with an initial
Compute the fan's angular velocity magnitude after time 0.201 s has passed.
Through how many revolutions has the blade turned in the time interval 0.201 s from Part A?
What is the tangential speed vt of a point on the tip of the blade at time t = 0.201 s ?
Calculate the magnitude at of the tangential acceleration of a point on the tip of the blade at time t = 0.201 s .
Calculate the magnitude ar of the radial (or centripetal) acceleration of the point at the end of the fan blade.
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