Simple Harmonic Motion Concepts

The video tutorial explains the relationship between circular motion and simple harmonic motion, deriving the position equation for an object in simple harmonic motion. It covers angular velocity, displacement, frequency, and period, and how these relate to angular frequency. The tutorial also discusses graphing simple harmonic motion, understanding amplitude and equilibrium, and the importance of phase shift and radians in equations. Finally, it highlights the significance of angular frequency and its representation on the AP Physics 1 equation sheet.

What is the relationship between circular motion and simple harmonic motion when viewed from the side?

• They are the same thing.

• Simple harmonic motion is a projection of circular motion.

• Circular motion is a type of simple harmonic motion.

• They are unrelated.

What is the equation for angular velocity?

• Angular velocity equals angular displacement divided by change in time.

• Angular velocity equals radius times angular displacement.

• Angular velocity equals frequency times time.

• Angular velocity equals angular displacement times time.

What is the angular displacement in radians for one full turn of the turntable?

• Pi radians

• Two pi radians

• Three pi radians

• Four pi radians

How is the position of an object in simple harmonic motion expressed in terms of amplitude and frequency?

• Position equals amplitude times frequency times time.

• Position equals amplitude times the cosine of 2 pi times frequency times time.

• Position equals frequency times the cosine of amplitude times time.

• Position equals amplitude times the sine of frequency times time.

Why might the sine function be used instead of the cosine function in the position equation?

• The sine function is used for faster calculations.

• The sine function is used when the initial position is at maximum displacement.

• The sine function is used when the initial position is at equilibrium.

• The sine function is more accurate.

What is the phase constant used for in simple harmonic motion equations?

• To phase shift the equation on the horizontal axis.

• To shift the graph vertically.

• To change the frequency of the motion.

• To adjust the amplitude of the motion.

Why is it important to use radians in simple harmonic motion equations?

• Radians are easier to calculate.

• The equations were derived using radians.

• Radians provide more accurate results.

• Radians are the standard unit for all physics equations.

What is the difference between angular frequency and frequency?

• Angular frequency is in radians per second, while frequency is in cycles per second.

• Angular frequency is always larger than frequency.

• They are the same and can be used interchangeably.

• Angular frequency is measured in cycles per second, while frequency is in radians per second.

What is the significance of deriving the equation for angular frequency?

• It helps in understanding the physics behind simple harmonic motion.

• It is necessary for solving all physics problems.

• It is required for using degrees in calculations.

• It simplifies the calculation process.

What should you ensure about your calculator when using simple harmonic motion equations?

• It should be in degree mode.

• It should be in basic mode.

• It should be in Radian mode.

• It should be in scientific mode.