Answer:
the centripetal acceleration of the race car is found to be 48.6 ft/s².
Explanation:
The centripetal acceleration of a body performing a circular motion is given by the following formula:
Centripetal Acceleration = ac = v²/r
where,
r = radius of the circular path (track) = 187 ft
v = speed of the body (car) = 65 mi/h
converting it to ft/s:
v = (65 mi/h)(5280 ft/1 mi)(1 h/3600 sec)
v = 95.33 ft/s
therefore,
ac = (95.33 ft/s)²/187 ft
ac = 48.6 ft/s²
Thus, the centripetal acceleration of the race car is found to be 48.6 ft/s².
