Circular Motion 3.1

Question 1

define radian

Answer 1

1 radian is the angle in which the arc length (L) is equal to the radius of the circle

Question 2

360 in radians

Answer 2

2 pi

Question 3

formula for length of a arc?

Answer 3

Length of arc = angle X Radius

Question 4

Define Angular velocity?

Answer 4

number of radians a object travels per second.

Question 5

formula for angular velocity?

Answer 5

angular velocity (W) = angle / time(period)

Question 6

units for angular velocity?

Answer 6

rad s-1

Question 7

equation for linear velocity?

Answer 7

speed(v) = angular velocity (W) X radius(r)

Question 8

where is the direction of acceleration in a circle?

Answer 8

Towards the center.

Question 9

formula for acceleration?

Answer 9

acceleration = angular velocity ^2 X radius

Question 10

another formula for acceleration ?

Answer 10

acceleration = velocity^2 / radius

Question 11

in a circle what links speed and acceleration?

Answer 11

speed of an object is constant, velocity and direction is changing so acceleration is also changing.

Question 12

define centripetal force?

Answer 12

force required to keep an object moving in a circular motion.

Question 13

formula for centripetal force?

Answer 13

force = mass X angular velocity^2 X radius

Question 14

define period?

Answer 14

time taken for one complete cycle.

Question 15

define frequency?

Answer 15

number of revolutions per second.

Question 16

formula for frequency?

Answer 16

Frequency = 1 / period

Question 17

2 conditions for circular motion?

Answer 17

1. Resultant force on object must be constant
2. force must be perpendicular to velocity at any given point.