The merry-go-round at the fair rotates 12 times each minute, and children are 15 feet from the center of the wheel when they are in their seats. What is the linear velocity of the children in feet per hour?
2 answers:
Answer: 16.33 feet/s Explanation: 1) Data: a) circular motion b) revolutions: 12 rpm c) r = 15 feet d) v = ?2) Formulae: angular velocity: ω = number of rpm × 2π / 60 seconds linear velocity: v = ω × r 3) Solution: ω = 12 × 2π / 60 s = 0.4π rad / s v = 0.4π rad / s × 13 feet = 5,2 π feet / s ≈ 5,2 (3.14159) feet / s = 16.33 feet/s. That is the answer.
Answer: There is linear velocity of 75 feet per hour of the children.
Step-by-step explanation:
Since we have given that
Time taken by merry - go - around = 12 times per minute
Distance from the center of the wheel when they are in their seats = 15 feet
We need to find the linear velocity of the children in feet per hour.
According to question,
Linear velocity =
So, it becomes,
Linear velocity is given by
Hence, there is linear velocity of 75 feet per hour of the children.
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