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SHM velocity / acceleration
v = ω√(A² − x²); a = −ω²x
Where: A = area (m²) / amplitude, ω = angular velocity (rad/s), v = final velocity / speed (m/s), x = displacement (m)
Solved example
Given: A = 5, omega = 10, x = 4
Find: v (final velocity / speed (m/s))
- Formula: v = ω·√(A² - x²)
- Substitute the values: v = 10·√(-4² + 5²)
- Result: v = 30
Answer: v = 30
Calculator
How to calculate SHM velocity / acceleration
- Write down the formula: v = ω√(A² − x²); a = −ω²x.
- Note the known values (A, ω, x).
- Substitute them and simplify to find v.
- Use the calculator above to solve for any letter.
Frequently asked questions
What is the formula for SHM velocity / acceleration?
The formula is v = ω√(A² − x²); a = −ω²x, where A = area (m²) / amplitude, ω = angular velocity (rad/s), v = final velocity / speed (m/s), x = displacement (m).
What is SHM velocity / acceleration when A = 5, omega = 10, x = 4?
v = 30. Substitute the values into v = ω√(A² − x²); a = −ω²x and simplify.