🔋college physics i – introduction review

key term - Radians

Definition

Radians are a unit of angular measure used in mathematics and physics. One radian is the angle subtended at the center of a circle by an arc whose length is equal to the circle's radius.

5 Must Know Facts For Your Next Test

  1. There are $2\pi$ radians in a full circle or $360^\circ$.
  2. Radians provide a direct relationship between the arc length and radius, making calculations in circular motion more straightforward.
  3. In equations involving angular velocity, radians per second ($rad/s$) is the standard unit.
  4. Radians are dimensionless units, often simplifying mathematical expressions in physics.
  5. The conversion from degrees to radians is given by multiplying degrees by $\frac{\pi}{180}$.

Review Questions

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