Math Problem Statement

calculate torque Trial Radius (m) Angular Acceleration (rad/s^2) Torque (N·m) 1 0.01 1.4234

2

1.5648

0.029

1

4.843

2

4.950

0.048

1

8.298

2

8.464

Solution

To calculate torque (TT) using the formula:

T=IαT = I \cdot \alpha

Where:

  • II is the moment of inertia (I=mr2I = m \cdot r^2, where mm is mass and rr is radius),
  • α\alpha is the angular acceleration in rad/s2\text{rad/s}^2.

Since the mass is not provided, we can only calculate torque if the moment of inertia (II) is given or if you want to solve symbolically. Can you clarify or provide the mass or inertia details? Alternatively, would you like me to

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Math Problem Analysis

Mathematical Concepts

Physics
Torque Calculation
Angular Acceleration
Moment of Inertia

Formulas

Torque (T) = Moment of Inertia (I) × Angular Acceleration (α)
Moment of Inertia (I) = Mass (m) × Radius^2 (r^2)

Theorems

Newton's Second Law for Rotation

Suitable Grade Level

Grades 9-12