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SHM displacement
x = A sin(ωt + φ)
Where: A = area (m²) / amplitude, ω = angular velocity (rad/s), φ = work function (J) / phase (rad), t = time (s), x = displacement (m)
Solved example
Given: A = 7, omega = 45°, phi = 60°, t = 37°
Find: x (displacement (m))
- Formula: x = A·sin(ω·t + φ)
- Substitute the values: x = 7·sin(37°·45° + 60°)
- Result: x = 6.999057
Answer: x = 6.999057
Calculator
How to calculate SHM displacement
- Write down the formula: x = A sin(ωt + φ).
- Note the known values (A, ω, φ, t).
- Substitute them and simplify to find x.
- Use the calculator above to solve for any letter.
Frequently asked questions
What is the formula for SHM displacement?
The formula is x = A sin(ωt + φ), where A = area (m²) / amplitude, ω = angular velocity (rad/s), φ = work function (J) / phase (rad), t = time (s), x = displacement (m).
What is SHM displacement when A = 7, omega = 45°, phi = 60°, t = 37°?
x = 6.999057. Substitute the values into x = A sin(ωt + φ) and simplify.