A ferris wheel is 25 meters in diameter and boarded from a platform that is 1 meter above the ground. the six o'clock position on the Ferris wheel is level with the loading platform. The wheel completes 1 full revolution in 10 minutes. The function h(t) gives a person's height in meters above the ground t minutes after the wheel begins to turn. a) Find the amplitude, midline and period of h(t). b) Find a formula for the height function, h(t). c) How high off the ground is a peron after 5 minutes?
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 ferris wheel is 25 meters in diameter and boarded from a platform that is 1 meter above the ground. the six o'clock position on the Ferris wheel is level with the loading platform. The wheel completes 1 full revolution in 10 minutes. The function h(t) gives a person's height in meters above the ground t minutes after the wheel begins to turn.
a) Find the amplitude, midline and period of h(t).
b) Find a formula for the height function, h(t).
c) How high off the ground is a peron after 5 minutes?
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