Question

The object of mass 7kg moving on a circular path of radius 14m with a constant speed of 3.5m/s. The centripetal acceleration produced on the object is​

Answer 1

Answer:

0.875 m/$s^{2}$

Explanation:

centripetal acceleration= $v^{2} /r$

​$v^{2} /r=$ $3.5^{2} / 14$ = 12.25/14 = 0.875 m/$s^{2}$

centripetal acceleration doesn't depend on mass but if it's centripetal force it does depend on mass as it's the force that is necessary to keep an object moving in a curved path and that is directed inward toward the center of rotation i.e. $mv^{2} / r$

Answer 2

• When the body travels on a circular path, its direction constantly changes, which is provided by the centripetal acceleration.
• It is directed radially inward.
• centripetal acceleration= v²/r

In the question the given quantities are,

mass= 7 kg

velocity = 3.5 m/s

Radius = 14  m

a=v²/r

a=(3.5)²/14

a=0.875 m/s²

The centripetal acceleration produced by the object is equal to 0.875 m/s².