Respuesta :
Answer:
a = 50.26 rad/s^2
Explanation:
We know that:
θ = [tex]\frac{1}{2}at^2[/tex]
where θ is the angle, a the angular aceleration and t the time.
First, we need to find how many rad are equivalent to 4 rev, as:
θ = 4 rev * 2π = 25.13 rad
Finally, replacing θ by 25.13 rad and t by 1 second, we get:
25.13 rad = [tex]\frac{1}{2}a(1s)^2[/tex]
Solving for a:
a = 50.26 rad/s^2
Answer:
50.27rad/s2
Explanation:
Using the formula,
= t + 1/2t2
Where = angular displacement of the rotating body = angle turned through by the body in rad, = initial angular velocity of rotating body in rad/s, =angular acceleration of the rotating body in rad/s2, t = time in s.
Since the body starts from rest, = 0, so the equation becomes,
= 1/2t2
Then,
= 2/t2,
Where t = 1s,
But,
for I complete revolution (rev) = 360 degrees = 2π,
Therefore, for 4 revs,
= 4 x 2π = 4 x 6.283185 = 25.1327rad
Substituting,
= 2 x 25.1327/1 x 1 = 50.27rad/s2
