- #1
jj8890
- 43
- 0
Homework Statement
As a result of friction, the angular speed of a wheel changes with time according to
d θ/d t = ω_0 e^(−σ t) ,
where ω0 and σ are constants.
initial angular speed = 5.45 rad/s
σ =.23913
Determine the number of revolutions the wheel makes after 2.33 s .
Answer in units of rev.
The Attempt at a Solution
I know I have to take the integral which is:
θ = - w_0/(σ *e^(-σ *t))
My numbers are initial velocity= 5.45 rad/sec, sigma= .023913, and time=2.33 seconds. so when I solved I got -13.0589 radians and divided it by 2pi to get revolutions, which gave me -2.07839. I thought the answer would be 2.07839 because revolutions can't be negative but it is not right, should i use the negative or am i doing something wrong?