Degree per Day to Radian per Second Conversion

Convert between Degree per Day and Radian per Second quickly and accurately.

From Degree per Day

°/d

To Radian per Second

rad/s

How to Convert Degree per Day to Radian per Second

Conversion Formula

1 °/d = 2E-7 rad/s

1 rad/s = 4950355.35 °/d

Example

Convert 15 °/d to rad/s:

15 °/d = 15 × 2E-7 rad/s = 0 rad/s

Unit Information

Learn about the velocity - angular units you're converting between

Degree per Day

°/d

Definition

The degree per day is a unit of angular velocity representing the rate of angular displacement in degrees over a 24-hour period. It is commonly used for measuring very slow rotational motions in astronomical and geological applications.

History/Origin

Degree per day was developed for astronomical observations where angular measurements are traditionally expressed in degrees. It provides a practical unit for describing the Earth's rotation, planetary movements, and other celestial phenomena using familiar degree measurements.

Current Use

Degree per day is primarily used in astronomy for describing planetary rotation rates, in geology for measuring tectonic plate movements, and in environmental science for tracking slow changes in natural systems over extended time periods.

Multiplier

2E-7

Offset

Radian per Second

rad/s

Definition

The radian per second is the SI unit of angular velocity, representing the rate of change of angular displacement. It measures how fast an object rotates around a fixed axis, with one radian per second equal to approximately 57.3 degrees per second.

History/Origin

The radian per second was established as the SI base unit for angular velocity in the International System of Units. The radian itself was defined as the angle subtended by an arc equal in length to the radius, providing a natural unit for angular measurements in mathematical and physical applications.

Current Use

Radian per second is widely used in physics, engineering, and mathematics for describing rotational motion. It is essential in mechanical engineering for motor specifications, in physics for describing planetary motion, and in computer graphics for animation and 3D modeling applications.

Multiplier

Offset