Atwood Machine Calculator
Compute acceleration and tension of an Atwood machine (two masses).
Input Data
Mass1Kg
kg
Mass2Kg
kg
Gravity Ms2
m/s²
Results
a = (m₂−m₁)g/(m₁+m₂).
1.962m/s²
Tension in the string.
23.544N
m₂−m₁.
1kg
m₁+m₂.
5kg
At a glance:a = (m₂−m₁)g/(m₁+m₂); T = 2m₁m₂g/(m₁+m₂). Complements newtons-second-law and pulley-system.
Formula
a = (m₂−m₁)g/(m₁+m₂).
T = 2m₁m₂g/(m₁+m₂).
$$a = \frac{(m_2 - m_1)g}{m_1 + m_2}, \quad T = \frac{2 m_1 m_2 g}{m_1 + m_2}$$How to Use
- Enter both masses and g.
- The tool returns acceleration, tension and mass stats.
Case Studies
m₁=1, m₂=3, g=9.8
a=4.9 m/s², T=14.7 N.
FAQ
Equal masses?
Then a=0 and T = m·g for each.
Related Tools
References
Content review: Calculatorism Science Team. Results are for reference only; please refer to the relevant authorities for the official figures.