velocity of center of wheel under pure role

velocity of center of wheel under pure role

Assessment

Interactive Video

Physics, Science

University

Hard

Created by

Quizizz Content

FREE Resource

The video tutorial explains how to calculate the velocity of a disc rolling across the ground without slipping. It introduces the concept of linear and angular velocity, and demonstrates the well-known formula VO = R Omega. Through animations, the tutorial illustrates the relationship between circumferential and linear distances. Finally, it provides a detailed mathematical derivation of the formula, emphasizing the use of circular motion principles.

Read more

5 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the direction of the angular velocity when a disc rolls to the right without slipping?

Downward

Upward

Clockwise

Counterclockwise

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the animation, what does the yellow line represent?

The height of the disc

The circumferential distance

The angular velocity

The radius of the disc

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the relationship between the circumferential distance and the linear distance rolled by the disc?

Circumferential distance is twice the linear distance

They are equal

They are unrelated

Linear distance is twice the circumferential distance

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What formula is used to express the magnitude of the linear distance DX in terms of angular displacement?

DX = R / DTheta

DX = R * DTheta

DX = R * Omega

DX = Omega * DTheta

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How is the magnitude of VO related to R and Omega?

VO = Omega - R

VO = R * Omega

VO = R / Omega

VO = Omega / R