Particle moves in a circle of radius 90m with a constant speed 25m/s. how many revolution does it make in 30sec

n =1.33 revolutions

Explanation:

Uniform Circular Motion

The angular speed can be calculated in two different ways:

Where:

v = tangential speed

r = radius of the circle described by the rotating object

Also:

Where:

f = frequency

Solving for f:

Since the frequency is calculated when the number of revolutions n and the time t are known:

We can solve for n:

n=f.t

The particle moves in a circle of r=90 m with a speed v=25 m/s. Thus the angular speed is:

Now we calculate f:

Calculating the number of revolutions:

n = 0.04421*30

n =1.33 revolutions

they should be similar or the same

true tan speed = ang vel x radius