Describing rotational motion

Question 1

Understand and use radian measure for angles

Answer 1

• Radians are a unit of measurement of angles
• A circle has 360º and the circumference of a circle is 2π
• 360º = 2π radians
• 180º = π radians
• 90º = π/2 radians

Question 2

Define and use angular velocity:

Answer 2

• 𝜔 = d𝜃/dt
• Angular velocity is the rate of change of angular position with respect to time

Question 3

To go from degrees to radians:

Answer 3

• Times the degrees by π/180

Question 4

To go from radians to degrees

Answer 4

• Times the radians by π/180

Question 5

What is the time period

Answer 5

• The time it takes for the object to complete one full circle
• T = 1/F

Question 5

What is frequency

Answer 5

• Frequency refers to the number of complete revolutions or cycles an object makes per unit of time

Question 6

Understand and use the period and frequency of rotation

Answer 6

• Time period is the time it takes for the object to complete one circle. T = 1/f
• Frequency is the number of complete revolutions per unit time. F = 1/T

Question 7

Relate angular velocity to frequency for uniform circular motion

Answer 7

• 𝜔 = 2π/T