Question

A racing car travels with a constant tangential speed of 80.8 m/s around a circular track of radius 602 m. (a) Find the magnitude of the car's total acceleration. m/s2 (b) Find the direction of its total acceleration relative to the radial direction. radially inward radially outward Not enough information is provided to determine the direction.

Answer 1

Answer:

10.84 m/s2 radially inward

Explanation:

As the car is traveling an a constant tangential speed of 80.8 m/s, the total acceleration only consists of the centripetal acceleration and no linear acceleration. The formula for centripetal acceleration with respect to tangential speed v = 80.8 m/s and radius r =602 m is

$a = \frac{v^2}{r} = \frac{80.8^2}{602} = 10.84 m/s^2$

b) The direction of this centripetal acceleration is radially inward