Practice Angular Motion in Terms of Linear Motion - 2.6 | 2. Angular Velocity and Angular Acceleration | ICSE Class 11 Engineering Science
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2.6 - Angular Motion in Terms of Linear Motion

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Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is the linear displacement of a point on a rotating wheel if the radius is 2 meters and the angle is Ο€ radians?

πŸ’‘ Hint: Use the formula s = r * ΞΈ.

Question 2

Easy

If a wheel has an angular velocity of 3 rad/s and a radius of 1.5 meters, what is the linear velocity?

πŸ’‘ Hint: Recall v = r * Ο‰.

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

Question 1

What is the relationship between linear displacement and angular displacement?

  • s = r Γ— ΞΈ
  • s = ΞΈ / r
  • s = r + ΞΈ

πŸ’‘ Hint: Think about how the distance relates to the angle rotated.

Question 2

True or False: Angular velocity is independent of the radius of rotation.

  • True
  • False

πŸ’‘ Hint: Consider the effects of radius on linear motion.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

A speeder bike has wheels of 0.6 meters radius. If the bike accelerates from rest to an angular velocity of 10 rad/s in 2 seconds, calculate the linear velocity and linear acceleration of a point on the outer edge of the wheel.

πŸ’‘ Hint: Use the principles of linear motion combined with angular speed.

Question 2

A turntable rotates at 30 rad/s. Calculate how far a point on its edge moves in 5 seconds and its angular acceleration if it comes to a stop in 10 seconds.

πŸ’‘ Hint: Use angular to linear transformations along with distance and time.

Challenge and get performance evaluation