Question

Two students are observing a 10 gram object moving around a circle with a radius of 5 centimeters. The constant velocity of the object is measured as 0.75 m/s with a motion detector. Which is the approximate centripetal acceleration of the object?

A. 5 m/s2
B. 11 m/s2
C. 20 m/s2
D. 98 m/s2

Answer 1

Answer:

11m/s²

Explanation:

Given parameters:

Mass of object  = 10g  = 0.01kg

Radius  = 5cm  = 0.05m

V = 0.75m/s

Unknown:

Centripetal acceleration  = ?

Solution:

Centripetal acceleration is the acceleration of a body in circular path. It can be derived using;

     a  = $\frac{v^{2} }{r}$  

v is the velocity

r is the radius

Now, insert the parameters;

         a  = $\frac{0.75^{2} }{0.05}$   = 11.25m/s²