FAN AND MEDAL
John is swinging a 100 g mass on a string around his head. On one end of the string is a spring scale that says he is exerting 5 N of centripetal force. Attached to the mass is a speedometer that tells him the mass is moving at 4 m/s. How long is the string?

Question

anonymous · Answer

First find the value of the centripetal acceleration. Which would be F=ma_c

anonymous · Answer

solve for a_c

anonymous · Answer

Then you know that a_c= v^2/r. Solve for r

anonymous · Answer

don't forget to convert grams to kg

karabella98 · Answer

So r=.32m?

anonymous · Answer

I got .032 m for r

anonymous · Answer

Can you walk me through your calcualtions?

karabella98 · Answer

To find a_c I divided 5N by .1kg and got 50m/s^2. Then to find r I divided 16 by 50 and got .32m

anonymous · Answer

Yes correct i made a mistake on my end you are correct.

karabella98 · Answer

Thank you!

anonymous · Answer

No Problem :D