A truck with 30-inch diameter wheels is traveling at 70 mi/h. Find the angular speed of the wheels in radians per minute. ___ radians per minute How many revolutions per minute do the wheels make? (Round your answer to three decimal places.) revolutions per minute

a) 9676.1053731 rad/min

b) 1540 rpm

Step-by-step explanation:

A truck with 30-inch diameter wheels is traveling at 70 mi/h. Find the angular speed of the wheels in radians per minute. ___ radians per minute How many revolutions per minute do the wheels make? (Round your answer to three decimal places.) revolutions per minute

truck with 30-in.-diameter wheels is traveling at 70 mi/h.

1 mile per hour = 88 feet per minute

70 mi/hr = 6160ft/minute

Each revolution = pi*d feet = 4pi feet

(b) How many revolutions per minute do the wheels make?

rev/min

Each revolution = pi*d feet = 4pi feet

rpm = 6160 ft/min / 4pi feet = 990/pi rpm

=~ 1540 rpm

(a) Find the angular speed of the wheels in rad/min.

rad/min

rad/min = rpm*2*pi

= 1540 rpm × 2× π

= 9676.1053731 rad/min

c

step-by-step explanation: