(1 of 2) Measuring the Rotational Inertia of a Bike Wheel

The video tutorial explains how to measure the rotational inertia of a bicycle wheel using a known hanging mass and a string. It covers the forces acting on the wheel and mass, the use of Newton's second law to sum torques, and the calculation of the force of tension. The tutorial also discusses the relationship between linear and angular acceleration, emphasizing the importance of direction in calculations. Finally, it provides the necessary calculations to determine the rotational inertia of the wheel, concluding with a discussion on the constant nature of torque and angular acceleration.

What is the primary purpose of attaching a known mass to a string wrapped around the bicycle wheel?

• To apply a torque that angularly accelerates the wheel

• To balance the wheel

• To measure the weight of the wheel

• To measure the speed of the wheel

Which force does NOT contribute to the torque on the bicycle wheel?

• Force of gravity on the wheel

• Force of tension on the wheel

• Force of gravity on the hanging mass

• Normal force on the axle

What must be identified when using the rotational form of Newton's second law?

• The color of the wheel

• The axis of rotation and direction of positive torque

• The mass of the wheel

• The speed of the wheel

How is the force of tension in the string determined?

• By summing the forces on the hanging mass

• By measuring the length of the string

• By observing the color of the string

• By calculating the speed of the wheel

What is the correct relationship between linear and angular acceleration in this setup?

• Linear acceleration is unrelated to angular acceleration

• Linear acceleration is half the angular acceleration

• Linear acceleration equals the radius times angular acceleration

• Linear acceleration is twice the angular acceleration

What constant value is used for the acceleration due to gravity in the calculations?

• 8.9 meters per second squared

• 9.81 meters per second squared

• 10 meters per second squared

• 9.5 meters per second squared

What is the calculated rotational inertia of the bicycle wheel?

• 0.250 kilogram meters squared

• 0.100 kilogram meters squared

• 0.200 kilogram meters squared

• 0.147 kilogram meters squared