Question

Momentum per unit volume has the same dimension as torque

Answer 1

yes momentum per unit volume has same dimension as torque

Answer 2

Answer:

Momentum per unit volume does not have the same dimension as torque.

Explanation:

• Momentum is the product of mass and velocity
• Dimensions of mass is [M] and velocity is [L/T]
• The dimension of momentum is [ML/T]
• The dimension of volume is [L³]
• The dimension of momentum per unit volume is [ML/T]/[L³] = [M/L²T]

• Torque is the product of radius and force
• The dimension of the radius is [L]
• The dimension of force is [ML/T²]
• The dimension of Torque is [ML²/T²]

The dimension of momentum per unit volume is [ML/T]/[L³] = [M/L²T] while that of Torque is [ML²/T²] which is not the same.

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