If a bicycle moves 20m what is the angular displacement in degrees, revolution and radians?
To determine the angular displacement of a bicycle, we need to know the circumference of the wheel. The circumference is the distance traveled by the wheel in one complete revolution.
Let's assume the wheel circumference is given by the formula: C = 2πr, where r is the radius of the wheel.
However, since we don't have any information about the radius, we will derive the formulas for angular displacement in terms of revolutions and radians instead.
1. Angular Displacement in Degrees:
The formula to calculate the angular displacement in degrees is:
θ (in degrees) = (distance traveled / circumference) * 360
Substituting the given values:
θ (in degrees) = (20m / C) * 360
2. Angular Displacement in Revolutions:
The formula to calculate the angular displacement in revolutions is:
θ (in revolutions) = (distance traveled / circumference)
Substituting the given values:
θ (in revolutions) = 20m / C
3. Angular Displacement in Radians:
The formula to calculate the angular displacement in radians is:
θ (in radians) = (distance traveled / radius)
Since we don't have the radius, we cannot calculate the angular displacement in radians without further information.
To find the specific angular displacement values, we need to know either the radius of the wheel or the distance traveled in terms of revolutions.