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Speed in a Circle Calculator

🪐 Gravity & circular motion. Use the Speed in a circle formula to find speed, radius, period: pick the value you want, type the others, and the answer updates as you go.

v=2πrTv = \dfrac{2\pi r}{T}
Speed29783 m/s

Pick the ○ next to the value you want to find, fill in the others, and it solves as you type.

What each letter means

QuantityUnit
Speedm/s
Radiusm
Periods

Worked example

Find the speed when Radius = 1.496 × 10¹¹ m, Period = 3.156 × 10⁷ s.

Using v = (2π r)/T: Speed = 29783 m/s.

Frequently asked questions

What is the formula for Speed in a circle?

v = (2π r)/T.

What do the letters stand for, and what units are used?

Speed in m/s, Radius in m, Period in s.

How do you calculate speed?

Put the values into v = (2π r)/T. For example, with Radius = 1.496 × 10¹¹ m, Period = 3.156 × 10⁷ s, speed = 29783 m/s.

Can I solve for a different value?

Yes. In the calculator above, pick the circle next to any value (speed, radius, period) and fill in the others: it rearranges the formula for you.

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