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Uniform circular motion
v = ωr; a_c = v²/r = ω²r
Where: ω = angular velocity (rad/s), r = radius / distance (m), v = final velocity / speed (m/s)
Solved example
Given: omega = 7, r = 5
Find: v (final velocity / speed (m/s))
- Formula: v = ω·r
- Substitute the values: v = 5·7
- Result: v = 35 m/s²
Answer: v = 35 m/s²
Calculator
How to calculate Uniform circular motion
- Write down the formula: v = ωr; a_c = v²/r = ω²r.
- Note the known values (ω, r).
- Substitute them and simplify to find v.
- Use the calculator above to solve for any letter.
Frequently asked questions
What is the formula for Uniform circular motion?
The formula is v = ωr; a_c = v²/r = ω²r, where ω = angular velocity (rad/s), r = radius / distance (m), v = final velocity / speed (m/s).
What is Uniform circular motion when omega = 7, r = 5?
v = 35 m/s². Substitute the values into v = ωr; a_c = v²/r = ω²r and simplify.