Circular motion power

Infinitum

I think there is a mistake here. Power is given as a dot-product,

[tex]P = F\cdot v[/tex]

I don't know how they are assumed to be in the same direction.

TSny

Perhaps the problem meant to say that the tangential acceleration varies as ....

Then the answer stated in the problem would be correct.

Infinitum

If that is the case, then it would definitely be correct

D H

Nice explanation, but wrong. The Indian education system apparently works (at least in part) by teaching the test. Old tests, to be precise. Perhaps India's copyright laws make those old tests a quick and easy source of homework questions for authors of Indian textbooks. In any case, this question is replicated over and over in many Indian physics texts. See the following google books search:

http://www.google.com/search?q=A+par...cceleration%22

Many just keep the question in its original form, a multiple choice question with choices 2πmk²r²t, mk⁴r²t⁵/3, mk²r²t, and zero. Some change the choices, others make the question open ended (not multiple choice). A small number of those books provide solutions -- including some erroneous ones (e.g., the book that is the subject of this thread). Apparently it is easy for authors to get their hands on the old test questions, but not on the old test answers.

Pranav-Arora

A good book is present in the link you gave D H, the book is "The Pearson Guide to Objective Physics for the IIT-JEE 2012". You can see the question in the preview and the answer is given the same as OP. Scroll down a few pages after the question and you will see the answer key.
Click Me

Seems like the author did the same mistake as me.

Ratch

D H,

It looks like TSny found the real reason why my method did not work.

TSny,

Thanks for your insight.

ehild,

You are correct, I should have known better.

Ratch