Question

Physics Help Again:
Jeff of the Jungle swings on a vine that is 7.20 m long (see the figure). At the bottom of the swing, just before hitting the tree, Jeff's linear speed is 8.50 m/s. Suppose that at some point in his swing Jeff of the Jungle has an angular speed of 0.800rad/s and an angular acceleration of 0.640rad/s2 .(Figure 1)
A) Find the magnitude of his centripetal acceleration.
B) Find the magnitude of his tangential acceleration.
C) Find the magnitude of his total acceleration.
D) Find the angle his total acceleration makes with respect to the tangential direction of motion.

Answer 1

Here is Figure 1

Answer 2

I tried questions A and B so many different ways, but it keeps telling me that I am wrong.
Please Help.

Answer 3

Can I see your calculations?

Answer 4

For question A, I tried to get the centripital acceleration with the general formula which was a(centripital)=v^2/R, so 8.50^2/7.20=10. For question B, I cannot find my calculations because I was doing so many other problems on that scratch sheet of paper. I honestly tried Question A and B like 7 different ways.

Answer 5

Nevermind, I found out how to do it. I was using equations that would have applied to linear paths, but then I found out that we needed to use angular formulas in order to solve them. Thanks anyway!

Answer 6

Haha no problem. If you have any other questions let me know!