Converting from Degree per Second (°/s) to Radian per Second (rad/s) | Angular speed

What is Degree per Second (°/s)

Degree per second (°/s) is a unit that represents angular speed, specifically the rate of change of an angle in degrees over one second. It is commonly used to measure rotational speed in various fields such as physics, engineering, and astronomy.

What is Radian per Second (rad/s)

Radian per second (rad/s) is another unit for angular speed, defined as the rate of change of an angle in radians over one second. Radians are a more natural unit for angular measurement in many mathematical and physical applications due to their relationship with the radius of a circle.

Conversion Formulas

The conversion between degrees per second and radians per second can be done using the following formulas:

• To convert from °/s to rad/s:
  rad/s=°/s×0.01745329
• To convert from rad/s to °/s:
  °/s=rad/s×57.29578

Examples

• 7 (°/s) = 0.122173 (rad/s)
• 7 (rad/s) = 401.0705 (°/s)
• 15 (°/s) = 0.2617994 (rad/s)
• 15 (rad/s) = 859.4367 (°/s)
• 8 (°/s) = 0.1396263 (rad/s)
• 8 (rad/s) = 458.3662 (°/s)

This page serves as a useful guide for converting between degree per second (°/s) and radian per second (rad/s) to make angular speed calculations more efficient and accurate.