# What Is the Direction of Precession for a Rotating Bicycle Wheel?

• Terrell8763
In summary, a 3 kg bicycle wheel with an angular velocity of 2484 rev/min is supported on one side and rotating clockwise when viewed from the left. The distance from the center of the wheel to the pivot point is 0.6 m and the wheel is a hoop with a radius of 0.4 m and a horizontal shaft. The direction of precession, when viewed from the top, is opposite to the direction of rotation of the wheel. This can be determined by using the right hand rule and applying Torque = dL/dt.
Terrell8763

## Homework Statement

Hi. I have: A 3 kg bicycle wheel rotating at a 2484 rev/min angular velocity has its shaft supported on one side. When viewing from the left (from the positive x-axes), one sees that the wheel is rotating in a clockwise manner. The distance from the center of the wheel to the pivot point is 0.6 m. The wheel is a hoop of radius 0.4 m and its shaft is horizontal.

I've attached a picture of the situation.

Assume all the mass of the system is located at the rim of the bicycle wheel. The acceleration of gravity is 9.8 m/s^2.

The direction of precession as viewed from the
top is
1. opposite to the direction of rotation of the
wheel.
2. along the direction of rotation of the
wheel.
3. clockwise.
4. counter-clockwise.
5. static, since angular momentum is conserved.

Right hand rule

## The Attempt at a Solution

I thought it would go along the direction of rotation of the
wheel, but evidently not.

#### Attachments

• precessing wheel.jpg
6.7 KB · Views: 516

## 1. What is precession of a rotating wheel?

Precession of a rotating wheel is the phenomenon in which a spinning wheel, when placed on a pivot or axle, will rotate in a circular motion around the pivot in addition to its original spinning motion.

## 2. What causes precession of a rotating wheel?

Precession of a rotating wheel is caused by the torque produced by the weight of the spinning wheel. This torque causes a change in the direction of the wheel's angular momentum, resulting in the circular motion around the pivot.

## 3. How is precession of a rotating wheel different from regular rotation?

Regular rotation involves a fixed axis of rotation, while precession of a rotating wheel involves a moving axis of rotation that changes direction over time. Additionally, precession involves both rotational and translational motion, while regular rotation only involves rotational motion.

## 4. What are some real-world examples of precession of a rotating wheel?

One example is the precession of a spinning top, where the top will rotate in a circular motion as it spins on a flat surface. Another example is the precession of a gyroscope, which is used in navigation systems and stabilizing devices.

## 5. What is the significance of precession of a rotating wheel in physics?

Precession of a rotating wheel is an important concept in physics, as it demonstrates the relationship between torque, angular momentum, and rotational motion. It is also used in various applications, such as gyroscopes, to measure and control rotational movement.

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