a 14.0 N·m torque on a wheel causes angular acceleration 11.3 rad/s2, what is the wheel's rotational inertia?
M = I•ε
I=M/ε
To find the wheel's rotational inertia, you can use the formula:
Torque (τ) = Rotational Inertia (I) * Angular Acceleration (α)
Rearranging the formula, we have:
I = τ / α
Given that the torque (τ) is 14.0 N·m and the angular acceleration (α) is 11.3 rad/s², we can substitute these values into the formula to find the rotational inertia (I):
I = 14.0 N·m / 11.3 rad/s²
To calculate this, divide 14.0 N·m by 11.3 rad/s²:
I = 1.24 kg·m²
Therefore, the wheel's rotational inertia is 1.24 kg·m².