Answer:
69 revolutions
Explanation:
given,
initial angular velocity = 0
final angular velocity = 6 rev/s
when safety switch turned off
tub smoothly slows to rest in (t)= 13 s
total revolution of tub = ?
angular acceleration =
angular acceleration =
= 0.6 rev/s²
now,
= 30 revolution
now,
when safety switch turn off
angular acceleration =
angular acceleration =
= -0.462 rev/s²
now,
= 39 revolution
total revolution = 30 + 39 = 69 revolutions.
tub will rotate 69 revolutions
Displacement = zero
That’s because the ball ends back at the starting point.
Setting up an integral of
rotation is used as a method of of calculating the volume of a 3D object formed
by a rotated area of a 2D space. Finding the volume is similar to finding the
area, but there is one additional component of rotating the area around a line
of symmetry.
<span>First the solid of revolution
should be defined. The general function
is y=f(x), on an interval [a,b].</span>
Then the curve is rotated
about a given axis to get the surface of the solid of revolution. That is the
integral of the function.
<span>It all depends of the
function f(x), which must be known in order to calculate the integral.</span>