When an old lp turntable was revolving at 33.3 rpm, it was shut off and uniformly slowed down and stopped in 5.5 seconds. through how many rotation did it turn while stopping?

No of revolution is defined as the no of loops taken from the starting to the end from the starting point . The number of rotations did it turn while stop will be 1.52.

No of revolution is defined as the no of loops taken from the starting to the end from the starting point.

The given data in the problem is;

n is the rpm of the old Ip =33.3 rpm

t is time interval taken to stop= 5.5 sec

N is the number of rotations did it turn while stopping=?

The angular speed is found by the formula as;

The rate of change of angular velocity is known as the angular acceleration;

The equation for the newtons law is given as

For one rotation the number of revolutions is n then for the N no of revolutions;

Hence the number of rotations did it turn while stop will be 1.52.

To learn more about the revolution refer to the link;

link

grav potential energy

we have been given a quadratic function and we need to restrict the domain such that it becomes a one to one function.

we know that vertex of this quadratic function occurs at (5,2).

further, we know that range of this function is .

if we restrict the domain of this function to either or , it will become one to one function.

let us know find its inverse.

upon interchanging x and y, we get:

let us now solve this function for y.

hence, the inverse function would be if we restrict the domain of original function to and the inverse function would be if we restrict the domain to .