Question

A circular wave travels outward from the origin. At one instant of time, the phase at r1​=14.0 cm is What is the wavelength of the wave? 0rad and the phase at r2​=90.0 cm is 3πrad. Express your answer with the appropriate units.

Answer 1

The wavelength of the circular wave can be calculated using the formula wavelength = 2πr, where r is the distance from the origin to the point on the wave. In this case, the phase at r1 = 14.0 cm is 0 rad and the phase at r2 = 90.0 cm is 3π rad. Therefore, the wavelength is 1.644 cm.

Step-by-step explanation:

The wavelength of a wave can be calculated using the formula:

wavelength = 2πr

where r is the distance from the origin to the point on the wave. In this case, the phase at r1 = 14.0 cm is 0 rad and the phase at r2 = 90.0 cm is 3π rad.

Since the phase is given in radians, we know that the phase at r2 is equivalent to 180 degrees. Therefore, the wavelength can be calculated as:

wavelength = 2π(90.0 cm - 14.0 cm) / (180 degrees - 0 degrees) = 1.644 cm