Angular Acceleration of a hammer

[matyash]

Having a bit of trouble with this question right here. If anyone could give some guidance it would be appreciated.

A hammer is being accelerated at 15 rad/s^2. Given a radius of rotation of 1.7mm what are the magnitudes of the radial and tangential components of acceleration when the tangential hammer speed is 25 m/s?

 

[tiny-tim]

Welcome to PF!

Hi matyash! Welcome to PF!

Show us what you've tried, and where you're stuck, and then we'll know how to help.

 

[djeitnstine]

Having a bit of trouble with this question right here. If anyone could give some guidance it would be appreciated.

A hammer is being accelerated at 15 rad/s^2. Given a radius of rotation of 1.7mm what are the magnitudes of the radial and tangential components of acceleration when the tangential hammer speed is 25 m/s?

$$\alpha = \frac{15 rad}{s^_{2}}$$

$$r = 0.0017 m$$

$$a_{c}= r \alpha$$

$$a_{t} = \frac{\Delta V}{t}$$

$$\vec{a} = \sqrt{a_{c}^{2} + a_{t}^{2}}$$

set the problem up like that. All of the variables are pretty straight forward. And the equations are as shown.

a_c is the centripetal accel. while alpha is the radial accel