Question

A wheel accelerates from rest to 59 rad/s at a rate of 43 rad/s2.

Through what angle (in radians) did the wheel turn while
accelerating?

Answer 1

Answer: 40,47rad

Step-by-step explanation:

`w_(i) = 0` (desde el reposo)

`w_(f) = 59 rad/s`

`a_(w) = 43 rad/s^(2)`

θ= no los piden

Formula

`w_(f) ^(2)` =
`w_(i) ^(2) + 2 a_(w) .`θ

Remplazando

`59^(2)` =
`0^(2) + 2(43).`θ

3481 = 86(θ)

3481/86= θ

40,47 rad = θ