Question

There is a spot of paint on the front wheel of the bicycle. Take the position of the spot at time t=0 to be at angle θ=0 radians with respect to an axis parallel to the ground (and perpendicular to the axis of rotation of the tire) and measure positive angles in the direction of the wheel's rotation. What angular displacement θ has the spot of paint undergone between time 0 and 2 seconds? Express your answer in radians using three significant figures.

Answer 1

Answer:

$\int\limits^2_0 {w} \, dt$

Explanation:

If Angular velocity w (omega ) is given, which is defined as, w = (change in angle)/(change in unit time).

then simply taking integral from 0 to 2 gives us the answer.

Answer 2

Answer:

Change in theta = 0.793rad

Explanation:

Please see attachment below.