A minute on a hand clock is 9 inches long Determine how far

A minute on a hand clock is 9 inches long. Determine how far the tip of the minute hand travels between 9:10 and 9:15 A.M. Find the linear speed of the tip.

The minute hand travels ___ inches.

Linear speed ___

Answer must be in \"pie\" form.

Solution

minute hand is 9 inches long

between 9:10 to 9:15 am time elapsed is 5 minutes

minute have makes 1 revolution in 60 minutes

circumference = 2*pi*r = 2 * pi * 9 = 18pi inches

it travels 18pi inches in 60 minutes

therefore in 5 minutes it will travel

3pi/2 inches

linear speed = angular velocity * radius

therefore , linear speed = (2pi/60)* 9 = 18pi / 60 = 3pi/10