Answer: angular displacement in rad = 3038.45 rad
angular displacement in rev = 483.589 rev
Explanation: mathematically
Angular velocity = angular displacement / time taken.
Angular velocity = 33.5 rad/s, time taken = 90.7s
33.5 = angular displacement /90.7
Angular displacement = 33.5 * 90.7 = 3038.45 rad
But 1 rev =2π
Hence 3038.45 rad to rev is
3038.45/2π = 483.599 rev
Answer:
Explanation:
a ) After the attainment of terminal speed , object takes 4.5 s to cover a distance of 2 m
So terminal speed V = 2 / 4.5
= .444 m /s
When it attains terminal speed , acceleration becomes zero
0 = g - B x .444
B = 22.25 s⁻¹
b ) At t = 0 , v = 0
a = g - B v
a = g at t = 0
c ) When v = .15
a = g - 22.25 x .15
= 9.8 - 3.31
= 6.5 m /s²
Answer:
Let's investigate the case where the cable breaks.
Conservation of angular momentum can be used to find the speed.
The projectile embeds itself to the ball, so they can be treated as a combined object. <u>The moment of inertia of the combined object is equal to the sum of the moment of inertia of both objects. </u>
where r is the length of the cable.
<u>After the collision, the ball and the projectile makes a circular motion because of the cable.</u> So, the force (tension) in circular motion is
The relation between linear velocity and the angular velocity is
So,
As can be seen, the maximum velocity for the projectile without breaking the cable is 
, where r is the length of the cable.
That's actually a lot easier than finding total <u><em>distance.</em></u>
To find displacement, you only have to know where the trip started from, and where it ended. It doesn't matter what route was followed to actually travel from the start to the finish. The displacement is the straight-line distance and direction between those two points.
