A 4.1-m-diameter merry-go-round is initially turning with a 4.4 s period. It steadily slows down and stops in 30 s. ▼ Part A Before slowing, what is the speed of a child on the rim? Express your answer with the appropriate units. v = Submit Part B A8 = μA Submit Value Request Answer How many revolutions does the merry-go-round make as it stops? Express your answer in revolutions. IVE ΑΣΦ Units Request Answer ? rev
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.
![## Educational Exercise: Analyzing the Motion of a Merry-Go-Round
### Problem Statement
A 4.1-meter diameter merry-go-round is initially turning with a 4.4-second period. It steadily slows down and stops in 30 seconds.
### Part A
**Question**: Before slowing, what is the speed of a child on the rim?
- **Instructions**: Express your answer with the appropriate units.
- **Answer Box**:
- \( v = \) [Value] [Units]
**Action**: Submit your answer when ready or request help for further guidance.
### Part B
**Question**: How many revolutions does the merry-go-round make as it stops?
- **Instructions**: Express your answer in revolutions.
- **Answer Box**:
- \( \Delta \theta = \) [Your Answer] rev
**Action**: Submit your answer when ready or request help for further guidance.
This exercise involves calculations for rotational motion physics, focusing on angular speed and angular displacement concepts. Ensure to use the correct formulas and conversions for accurate results.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1bb54c50-d653-47f8-8cfc-545a4ed262e0%2F19231cc2-a129-46dc-9aeb-9debd718b3e9%2F243m1ca_processed.png&w=3840&q=75)
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