Set gravity equal to the centripetal force: $$mg = \frac{mv^2}{r}$$, then solve for v: $$v = \sqrt{gr}$$.

Find the vector sum of centripetal and tangential accelerations. The net acceleration is angled relative to the circular path.

Combine static friction and normal forces to determine the net centripetal force. Quantitatively analyze only when friction isn't needed for uniform circular motion.

Use the formula $$T^{2} = \frac{4\pi^{2}}{GM}R^{3}$$, where T is the orbital period, R is the orbital radius, M is the mass of the central body, and G is the universal gravitational constant.

1. Draw a free-body diagram. 2. Resolve tension into horizontal and vertical components. 3. Use vertical components to find tension. 4. Use horizontal component as centripetal force to find speed or other variables.

Acceleration directed towards the center of a circular path, constantly changing the object's direction.

Acceleration along the circular path that changes an object's speed.

Time for one complete revolution, measured in seconds (s).

Number of revolutions per unit time, measured in Hertz (Hz).

Relates a satellite's orbital period to its orbital radius and the mass of the central body.

1: Velocity (v), 2: Centripetal Acceleration (ac), 3: Center of Circle

1: Velocity (v), 2: Tangential Acceleration (at), 3: Centripetal Acceleration (ac), 4: Center of Circle

1: Tension (T), 2: Weight (mg)