Question

A carousel with a 40-foot diameter makes 3 revolutions per minute. (a) Find the angular speed of the carousel in radians per minute. (Round your answer to two decimal places.) 18.84 Incorrect: Your answer is incorrect. radians per minute (b) Find the linear speed (in feet per minute) of the platform rim of the carousel. (Round your answer to two decimal places.) feet per minute

Answer 1

Answer:

A). 18.84 radians per minute

B). 376.80 feet per minute

Step-by-step explanation:

As we know carousal is moving with 3 revolutions per minute.

(a). Angular speed = 3 revolutions per minute

                               = 3 × (2π) per minute

                               = 6π per minute

                               = 6×(3.14)

                               = 18.84 radians per minute

B). Since linear speed = Radius × Angular speed

                                     = $\frac{40}{2}\times (18.84)$

                                     = 20 × 18.84

                                      = 376.80 feet per minute