2.6.2 - Angular Velocity and Linear Velocity
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Practice Questions
Test your understanding with targeted questions
Calculate the angular velocity if a gear completes 10 rotations in 5 seconds.
💡 Hint: Recall that one rotation is 2π radians.
If the radius of a circle is 3 meters and angular velocity is 2 rad/s, what is the linear velocity?
💡 Hint: Use the formula v = r ⋅ ω.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the angular velocity of an object that rotates through 20 radians in 5 seconds?
💡 Hint: Use the formula for angular velocity.
True or False: Linear velocity can be determined without knowing the radius.
💡 Hint: Recall the formula v = r ⋅ ω.
1 more question available
Challenge Problems
Push your limits with advanced challenges
A satellite orbits the Earth at a radius of 6000 km with a constant angular velocity of 0.001 rad/s. Calculate its linear velocity.
💡 Hint: Remember to convert kilometers to meters before calculations.
Two gears are connected; Gear A has a radius of 0.15 m and rotates at 10 rad/s. What is the linear velocity of Gear B if its radius is 0.30 m?
💡 Hint: Use the gear ratio and relate their velocities.
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