The piston inside a car cylinder osscilates up and down with Simple Harmonic Motion at 5400 cylces per minute. It travels upwards through a distance of 24cm and downwards through 24cm each cycle. What is the amplitude of the SHM? (m) Answer: 0.24 x What is the angular frequency of the motion? (rad/s) Answer: 565.5 The total distance moved is 24cm. The equillibrium position is in the middle. Hence the amplitude is equal to half of 24 cm, 0.12m. x Answer: 135.72 What is the maximum velocity of the piston? (m/s) piston cylinder The frequency is the number of cycles (or revolutions) per second. Hence the frequency is 5400/60= Hz. Then use w=2nf to caculate the angular frequeny. x SHM

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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.