A wheel is rotating at 3 radians/sec, and the wheel has a 42-inch diameter. To the nearest foot per minute, what is the linear speed of a point on the rim?

A point on the rim would travel a distance equal to the circumference of the wheel. The wheel has diameter 42 in, so the circumference is 42π in.

2π radians corresponds to one complete revolution of the wheel. So the wheel has a linear speed of

(3 rad/s) * (42π/2π in/rad) = 63 in/s

46

step-by-step explanation:

given

height = 168 cm

formula

height =2.47*f+54.13

solution

168 = 2.47f + 54.13             subtract 54.13 from both sides

168 - 54.13   = 2.47f             combine

113.87 = 2.47f                     divide by 2.47

113.87 / 2.47 = f                   combine

46.1 = f  

answer: 46 cm