Question

A particle is moving around a circle of radius R equals to 1.5 metre with a constant speed of 2 metre seconds what is the centripetal acceleration the angular velocity of the particular

Answer 1

Hope that this will be enough.

Answer 2

Answer:

The centripetal acceleration and angular velocity of the particle are $2.67m/s^{2}$ and 1.33rad/sec respectively.

Explanation:

Given that,

A particle is moving around a circle of radius 1.5m with a constant speed of 2m/s.We are required to find its centripetal acceleration and angular velocity.

The centripetal acceleration of an body moving along a circular path is the ratio of square of its velocity and radius of path.Hence,

$a_{c}=\frac{v^{2}}{r}$

Substituting the known values in above relation,we get

$a_{c}=\frac{2^{2}}{1.5} =2.67m/s^{2}$

Also the angular velocity of a body moving along circular path is teh ratio of its linear velocity and radius.Hence,

$\omega=\frac{v}{r}$

Substituting the values,we get

$\omega=\frac{2}{1.5}=1.33rad/sec$

Therefore,the centripetal acceleration and angular velocity of the particle are $2.67m/s^{2}$ and 1.33rad/sec respectively.

#SPJ2