Question

A particle moves in a circle with constant speed of 15m/s. The radius of the circle is 2m.
Determine the centripetal acceleration of the particle

Answer 1

Given:

Constant speed = 15m/s = v

the radius of circle = r = 2m

To find:

Centripetal acceleration (a)

Solution:

In a circular motion, the formula used to find the centripetal acceleration is

$a = \frac{ {v}^{2} }{r}$

where,

a is the centripetal acceleration

v is the velocity or speed

r is the radius of the circle

Now, putting the values from our question into the equation we get,

$a = \frac{ {15}^{2} }{2} = \frac{625}{2} = 312.5 \frac{m}{ {s}^{2} }$

Hence, the centripetal acceleration is 312.5m/s²

Answer 2

Answer:

A particle moves in a circle with constant speed of 15m/s. The radius of the circle is 2m.

Determine the centripetal acceleration of the particle