Problem 35P

Suppose, in Problem 34, that at some point in his swing Jeff of the Jungle has an angular speed of 0.850 rad/s and an angular acceleration of 0.620 rad/s2. Find the magnitude of his centripetal, tangential, and total accelerations, and the angle his total acceleration makes with respect to the tangential direction of motion.

Solution 35P

Step 1 of 4

We have to find the magnitude of Jeff’s centripetal, tangential, and total accelerations, and the angle his total acceleration makes with respect to the tangential direction of motion on the swing when his angular speed and angular acceleration are 0.850 rad/s and 0.620 rad/s2.

The magnitude of Jeff’s centripetal acceleration can be found using the expression,

where,

7.2 m

0.850 rad/s

Thus,

= 5.20 m/s2