x = R theta.(We assume that the wheel rolls without slipping.)
From this expression, we can determine a related equation that determines the relationship between the rate at which a wheel rotates, and its linear velocity. If we take the derivative with respect to time of both sides of the above equation, we get:
dx/dt = R d(theta)/dt.The left-hand side of this equation is just the wheel's linear velocity, v. The right-hand derivative is known as the wheel's angular velocity, and is typically measured in radians per second.
