Question

2. Derive an expression for the acceleration of a body of mass m moving with a uniform speed v in a circular path of radius r.

Answer 1

Answer:a=v^2/r

Explanation:

Answer 2

The expression for the acceleration of a body of mass m moving with a uniform speed v in a circular path of radius r is $a=\dfrac{v^2}{r}$

Explanation:

When a body is moving in circular path, it is moving under the action of centripetal acceleration. So,

$ma=\dfrac{mv^2}{r}$

Here,

m is the mass of a body

v is the speed of body

r is radius of circular path

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

If $v=r\omega$

$a=\dfrac{(r\omega)^2}{r}\\\\a=r\omega^2$

Learn more,

Centripetal acceleration

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