# Math Help - Finding centripital accelleration

1. ## Finding centripital accelleration

An object is accelerating along a circular groove of radius R=200 mm. Its motion is given as
theta = 5 t^3

where t is in seconds and theta is in radians.

What is its centripetal acceleration (in m/s^2) at t = T?

T[s] = 0.28;

2. Originally Posted by m_i_k_o
An object is accelerating along a circular groove of radius R=200 mm. Its motion is given as
theta = 5 t^3

where t is in seconds and theta is in radians.

What is its centripetal acceleration (in m/s^2) at t = T?

T[s] = 0.28;

HI
What is the mass of the object ??

$\omega=\frac{d\theta}{dt}$

$
=15t^2
$

So now when t is 0.28 , $\omega=1.176 rads^{-1}$

Then use the formula , F = mrw^2 .. you need to know the value of m

3. ## Missing values

We weren't given any mass value. Is there any other way to do this?

4. Originally Posted by m_i_k_o
An object is accelerating along a circular groove of radius R=200 mm. Its motion is given as
theta = 5 t^3

where t is in seconds and theta is in radians.

What is its centripetal acceleration (in m/s^2) at t = T?

T[s] = 0.28;

note that $\omega = \frac{d\theta}{dt}$
$a_c = r\omega^2$