If a cylinder with a 6 in. radius is spinning at 24 mph, find the angular velocity in rpm of a point on its rim.

A flywheel with a diameter of 14 cm is rotating at a rate of 9 radians per second. What is the linear speed of a point on its rim, in centimeters per minute? The linear speed is approximately cm/min. (Do not round until the final answer. Then round to the nearest integer as needed.)

A hiker start from his parked car and walked as follows : 12km due east followed by 8km at 40 north of east , followed by 10km due . Find the components ( along east and north of the net displacement and the magnitude and direction of the displacement

Find the length of the arc on a circle of radius 10 feet intercepted by a 135° central angle. Express arc length in terms of π. Then round your answer to two decimal places.