Circular Motion 5.2

Question 1

What is the definition of a radian?

Answer 1

-One radian is defined as the angle subtended at the centre of a circle when the arc is equal in length to the radius of the circle

Question 2

What is the period and Angular velocity?

Answer 2

-Period: time taken in seconds for one complete circular path
-Angular velocity: the rate of angular rotation, measured in radians per second

Question 3

What is the centripetal acceleration?

Answer 3

-The acceleration of an object moving with uniform circular motion, it is directly radially inwards perpendicular to the velocity at any instant.

Question 4

How many degrees is π(3.14) radians?

Answer 4

180 degrees

Question 5

What is an equation for the speed of a body moving in a circle involving the circumference?

Answer 5

v=2πr/T

Question 6

What is the equation for Angular velocity involving frequency?

Answer 6

ω=2πf

ω= angular velocity

Question 7

Why is speed constant but velocity is changing in an object in circular motion? and why is this object described as accelerating

Answer 7

-Speed is scalar so if the object has a constant speed it shall remain constant
-Velocity is a vector quantity which means you have to consider both its direction and magnitude and as the direction is constantly changing so is its velocity
-Since acceleration is described as rate of change of velocity the object is said to be accelerating

Question 8

What is the equation for centripetal acceleration?

Answer 8

centripetal acceleration= v^2/r

Question 9

What is centripetal force?

Answer 9

-Resultant force on an object, acting towards the centre of the circle, causing it to move in a circular path