The wheels on a vehicle have radius of 26 inches and are tur

The wheels on a vehicle have radius of 26 inches and are turning at 650 revolutions per minute.

-Part 1: What is the angular velocity of the wheels?

a) 1300pi rad/min b) 1305pi rad/min c) 1297pi rad/min d) 1311pi rad/min

-Part 2: What is the linear velocity of the wheels in inches per minute?

a) about 106,184.6 in/min

b) about 106,187.6 in/min

c) about 106,185.8 in/min

d) about 106,183.4 in/min

Part 3- What is the linear velocity of the wheels in miles per hour?

a) about 98.5 mi/hr

b) about 100.6 mi/hr

c) about 98.9 mi/hr

d) about 99.3 mi/hr

PLEASE SHOW WORK!

b) linear velocity = v = 2pi*26*650 = 106,185.8 inches/min (option C)

a) angular velocity = w = v/r = 106,185.8/26 = 1300*pi rad/min (option a)

c) linear velocity = 106,185.8 inches/min = 100.6 mph (option B)