Question

A building superintendent twirls a set of keys in a circle at the end of a cord. If the keys have a centripetal acceleration of 114 m/s2 and the cord has a length of 0.29 m, what is the tangential speed of the keys? Answer in units of m/s.

Answer 1

Answer:

5.75m/s

Explanation:

The formula we need to use here is the formula of centripetal acceleration given as

$a=v^{2} /r$

we have the acceleration and the radius (luckly in the units we need them to be)

replacing it would yield

$114m/s^{2} =v^{2} /0.29m$

then solving for v

$\sqrt{114m/s^{2} * 0.29m }= v$

$\sqrt{33 m^{2} / s^{2}}= v\\ 5.75 m/s = v$

(notice how m/$s^{2}$ * m yields $m^{2}/s^{2}$ which when applying the square root yield m/s)