Answer:
A.) 4 revolution
B.) 0.2 revolution
C.) 4 seconds
D.) 2.75 m/s
Explanation:
Given that a merry-go-round a.k.a "the spinny thing" is rotating at 15 RPM, and has a radius of 1.75 m
Solution
1 revolution = 2πr
Where r = 1.75m
A. How many revolutions will it make in 3 minutes?
(2π × 1.75) / 3
10.9955 / 3
3.665 RPM
Number of revolution = 15 / 3.665
Number of revolution = 4 revolution
B. How many revolutions will it make in 10.0 seconds?
First convert 10 seconds to minutes
10/60 = 0.167 minute
(2π × 1.75) / 0.167
10.9955 / 0.167
65.973
Number of revolution = 15 / 65.973
Number of revolution = 0.2 revolution
C. How long does it take for a person to make 1 complete revolution?
15 = 1 / t
Make t the subject of formula
t = 1/15
t = 0.0667 minute
t = 4 seconds
D. What is the velocity in m/s of person standing on its edge?
Velocity in m/ s will be:
Velocity = (15 × 2pi × r) / 60
Velocity = 164.9334 / 60
Velocity = 2.75 m/s
