Question

A person drives a car around a circular cloverleaf with a radius of 63 m at a uniform speed of 10 m/s. (a) What is the acceleration of the car? (b) Compare this answer with the acceleration due to gravity as a percentage?

Answer 1

Answer:

acceleration is 1.59 m/s²

required % is 16.22 %

Explanation:

given data

radius = 63 m

speed = 10 m/s

to find out

acceleration of the car and acceleration due to gravity

solution

we know car is moving in circular path

so acceleration will be, a = $\frac{v^2}{r}$   .........1

put here value

a =  $\frac{10^2}{63}$

a = 1.59 m/s²

so acceleration is 1.59 m/s²

so acceleration due to gravity as a percentage is 9.8 m/s²

required % = $\frac{1.59}{9.8}*100$

required %  = 16.22 %