Estimate the moment of inertia of a bicycle wheel 69 cmcm in diameter. The rim and tire have a combined mass of 0.80 kgkg . The mass of the hub can be ignored.Express your answer to two significant figures and include the appropriate units.
Question
Estimate the moment of inertia of a bicycle wheel 69 cmcm in diameter. The rim and tire have a combined mass of 0.80 kgkg . The mass of the hub can be ignored.Express your answer to two significant figures and include the appropriate units.
Solution
The moment of inertia (I) of a circular object like a bicycle wheel can be calculated using the formula:
I = 0.5 * m * r^2
where: m is the mass of the object, r is the radius of the object.
Given: Diameter of the wheel, d = 69 cm = 0.69 m (since 1m = 100cm) Therefore, radius of the wheel, r = d/2 = 0.69/2 = 0.345 m
Mass of the wheel, m = 0.80 kg
Substituting these values into the formula:
I = 0.5 * 0.80 kg * (0.345 m)^2 I = 0.5 * 0.80 kg * 0.119025 m^2 I = 0.04761 kg*m^2
Rounding this to two significant figures gives I = 0.048 kg*m^2.
Similar Questions
A 0.2 kg particle is attached at the rim of rotating wheel of radius 0.5m. The wheel completes each revolution in 0.8s. The moment of inertia of the wheel (not including the particle is 0.16kg.m2. The magnitude of the angular momentum of the system is:a.1.65kg.m2/sb.3.65kg.m2/sc.165kg.m2/sd.2.65kg.m2/s
A body of moment of inertia 2 kg m2 is rotated at a speed of 25 rad s–1. A tangential force at rim stops the wheel in10 s. Average torque of force
The moment of inertia of a car's wheel is 0.4 kg m². If the wheel is rotating at 300 rpm, what is its angular velocity in radians per second?
A bicycle wheel has a diameter of 64.6 cm and a mass of 1.87 kg. Assume that the wheel is a hoop with all of its mass concentrated on the outside radius. The bicycle is placed on a stationary stand on rollers and a resistive force of 123 N is applied tangent to the rim of the tire.(a) What force must be applied by a chain passing over a 8.93 cm diameter sprocket if the wheel is to attain an acceleration of 4.60 rad/s2? N(b) What force is required if the chain shifts to a 5.55 cm diameter sprocket?
The driving wheel of a car travelling at a constant velocity has a torque of 137 N m applied to it by the axle that drives the car (Figure 4.26). The radius of the tyre is 0.18 m. Calculate the driving force provided by this wheel.
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.