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Physics Worksheet
🌀 Rotational Motion
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After this worksheet you can
Understand: Angular Displacement, Velocity, and AccelerationUnderstand: Rotational Equations of MotionUnderstand: Relating Linear and Angular QuantitiesUnderstand: Moment of Inertia🧠 Section A · Concept Check ● BEGINNER 4 × 1 = 4
1A wheel accelerates from rest to 30 rad/s in 6s. Find angular acceleration.
2A wheel of radius 0.6m spins at 15 rad/s. Find the linear speed at its rim.
3A wheel has I=5 kg*m^2 and omega=4 rad/s. Find rotational KE.
4A wheel starts at 5 rad/s and accelerates at 2 rad/s^2 for 3s. Find its final angular velocity.
🧮 Section B · Problem Solving ● INTERMEDIATE 4 × 3 = 12
5Using the previous wheel, find the angular displacement over those 3 seconds.
6Why does an object's moment of inertia depend on how its mass is distributed, not just its total mass?
7A point on a spinning disk of radius 0.3m has linear speed 6 m/s. Find the disk's angular velocity.
8What everyday object demonstrates rotational kinetic energy?
🚀 Section C · Challenge ● CHALLENGE 2 × 2 = 4
9A wheel with I=10 kg*m^2 has rotational KE of 500 J. Find its angular velocity.
10Why do the rotational equations of motion mirror the linear equations of motion so closely?
💭 Reflection — the most useful thing I learned:
A ___/4 B ___/12 C ___/4 Total ___/20
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1 = 5 rad/s^2 2 = 9 m/s 3 = 40 J 4 = omega=5+2*3=11 rad/s | 5 = theta=5*3+0.5*2*9=15+9=24 rad 6 = Mass farther from the rotation axis contributes more resistance to rotational change than mass close to the axis 7 = omega=v/r=6/0.3=20 rad/s 8 = Any valid example, e.g. a spinning top, a flywheel, or a rotating fan blade | 9 = 500=0.5*10*omega^2, omega^2=100, omega=10 rad/s 10 = Rotational quantities (theta, omega, alpha) are the direct rotational analogs of linear quantities (position, velocity, acceleration), following the same underlying physics