A bicycle wheel is rotating at 46 rpm when the cyclist begins to pedal harder, giving the wheel a constant angular acceleration of 0.50 rad/s². What is the wheel's angular velocity, in rpm, 10 s later? Express your answer in revolutions per minute. ► View Available Hint(s) 195| ΑΣΦ Submit Part B ? How many revolutions does the wheel make during this time? rpm
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.
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**Angular Motion Problem for Educational Practice**
A bicycle wheel is rotating at 46 revolutions per minute (rpm) when the cyclist begins to pedal harder, giving the wheel a constant angular acceleration of 0.50 radians per second squared (rad/s²).
**Part A**
*Problem Statement:*
What is the wheel's angular velocity, in rpm, 10 seconds later?
*Instructions:*
Express your answer in revolutions per minute.
*Answer Input Box:*
ω = [Input Box] rpm
*Submit Button:*
[Submit]
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**Part B**
*Problem Statement:*
How many revolutions does the wheel make during this time?
*Instructions:*
Express your answer as the total number of revolutions made.
*Answer Input Box:*
N of revs = [Input Box]
*Submit Button:*
[Submit]
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