You will be studying velocity and acceleration of a point undergoing uniform circular motion. This lab is based on the theory presented in Chapter 8 of the Knight (5th edition) textbook. Centripetal acceleration The point P is on a disc rotating counter-clockwise at constant angular speed with period T. Consider the instant when P is at its "right-most" position, and using the coordinate system shown (Fig. 1). C is the centre of the disc. Question 1: In terms of î and ĵ, what is the direction of the velocity of P? Show this direction in Fig 1. Question 2: In terms of î and ĵ, what is the direction of the acceleration of P? Show this direction in Fig 1. Question 3: What is the angular speed (w) of P, in terms of T?

University Physics Volume 1
18th Edition
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Author:William Moebs, Samuel J. Ling, Jeff Sanny
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Chapter4: Motion In Two And Three Dimensions
Section: Chapter Questions
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You will be studying velocity and acceleration of a point undergoing uniform circular motion.
This lab is based on the theory presented in Chapter 8 of the Knight (5th edition) textbook.
Centripetal acceleration
The point P is on a disc rotating counter-clockwise at constant angular speed with period T.
Consider the instant when P is at its "right-most” position, and using the coordinate system
shown (Fig. 1). C is the centre of the disc.
Question 1: In terms of î and ĵ, what is the direction of the velocity of P?
Show this direction in Fig 1.
Question 2: In terms of î and ĵ, what is the direction of the acceleration of P?
Show this direction in Fig 1.
Question 3: What is the angular speed (w) of P, in terms of T?
Question 4: What is the magnitude of the velocity of P,
in terms of (possibly) Rdisc, Rp and w?
Question 5: What is the magnitude of the acceleration of P,
in terms of (possibly) Rdisc, Rp and w?
Question 6: Fill in the theoretical values of the x and y components
of velocity and acceleration of P, in terms of (possibly) Rdisc, Rp and w.
Velocity: Vx
Acceleration: ax
Vy
ay
у
X
Fig 1
Transcribed Image Text:You will be studying velocity and acceleration of a point undergoing uniform circular motion. This lab is based on the theory presented in Chapter 8 of the Knight (5th edition) textbook. Centripetal acceleration The point P is on a disc rotating counter-clockwise at constant angular speed with period T. Consider the instant when P is at its "right-most” position, and using the coordinate system shown (Fig. 1). C is the centre of the disc. Question 1: In terms of î and ĵ, what is the direction of the velocity of P? Show this direction in Fig 1. Question 2: In terms of î and ĵ, what is the direction of the acceleration of P? Show this direction in Fig 1. Question 3: What is the angular speed (w) of P, in terms of T? Question 4: What is the magnitude of the velocity of P, in terms of (possibly) Rdisc, Rp and w? Question 5: What is the magnitude of the acceleration of P, in terms of (possibly) Rdisc, Rp and w? Question 6: Fill in the theoretical values of the x and y components of velocity and acceleration of P, in terms of (possibly) Rdisc, Rp and w. Velocity: Vx Acceleration: ax Vy ay у X Fig 1
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