Motion in a Circle

Question 1

What is the equation for working out circular velocity?

Answer 1

The velocity is equal to circumference multiplied by the revolutions per second.

Question 2

What is the unit for angular speed?

Answer 2

Radians per second

Question 3

What is the calculation for angular displacement?

Answer 3

(2(pi)t)/T
Where T = time for one revolution
and t = is total time.

Question 4

What is the symbol for ‘Radian’?

Answer 4

rad

Question 5

An object moving round a circle at a constant speed. How is the velocity affected?

Answer 5

The velocity is constantly changing due to the fact that velocity is a vector (it has direction).

Question 6

Where is the change of the velocity directed?

Answer 6

Towards the centre of the circle

Question 7

What is the name of the acceleration that is directed towards the centre of the circle?

Answer 7

Centripetal acceleration.

Question 8

What is the name of the force that is the resultant on an object moving round a circle at a constant speed?

Answer 8

Centripetal Force

Question 9

What is the equation for centripetal force?

Answer 9

F = mv^2 / r
or
F = m(omega^2)r

Where omega = v/r

Question 10

What is the singular force that acts on objects like a satellite orbiting the earth?

Answer 10

Centripetal force, which also causes the centripetal acceleration.

Question 11

In the case of an object swung on a piece of string, what is equal to the tension?

Answer 11

Centripetal Force

Question 12

If a vehicle of mass m moving at speed v along a road that passes over the top of a hill. What is the equation that links the maximum velocity to not lose contact with the road surface, and the radius of the curvature of the hill or bridge?

Answer 12

v = gr

Also written as v(superscript 0) = gr