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Atwood machine
a = (m₁ − m₂)g/(m₁ + m₂); T = 2m₁m₂g/(m₁ + m₂)
Where: a = acceleration (m/s²), g = acceleration due to gravity (m/s²), m₁ = mass 1 (kg), m₂ = mass 2 (kg)
Solved example
Given: g = 7, m_1 = 5, m_2 = 10
Find: a (acceleration (m/s²))
- Formula: a = g·(m₁ - m₂)/(m₁ + m₂)
- Substitute the values: a = 7·(-10 + 5)/(10 + 5)
- Result: a = -2.333333
Answer: a = -2.333333
Calculator
How to calculate Atwood machine
- Write down the formula: a = (m₁ − m₂)g/(m₁ + m₂); T = 2m₁m₂g/(m₁ + m₂).
- Note the known values (g, m₁, m₂).
- Substitute them and simplify to find a.
- Use the calculator above to solve for any letter.
Frequently asked questions
What is the formula for Atwood machine?
The formula is a = (m₁ − m₂)g/(m₁ + m₂); T = 2m₁m₂g/(m₁ + m₂), where a = acceleration (m/s²), g = acceleration due to gravity (m/s²), m₁ = mass 1 (kg), m₂ = mass 2 (kg).
What is Atwood machine when g = 7, m_1 = 5, m_2 = 10?
a = -2.333333. Substitute the values into a = (m₁ − m₂)g/(m₁ + m₂); T = 2m₁m₂g/(m₁ + m₂) and simplify.