Answer: 39.27 Nm
Explanation:
To find the torque (τ) that produces this angular acceleration (α) for Mikal's leg, we can use the formula:
τ = I×α, where:
- τ is the torque (in Newton-meters, Nm)
- I is the moment of inertia (in kg.m²)
- α is the angular acceleration (in radians per second squared, rad/s²)
First, we need to convert the angular acceleration from degrees per second squared (°/s² ) to radians per second squared:
3000°/s² × (π/180)
= 3000 × (π/180) rad/s²
= 52.35987755 rad/s²
Now, we can use the formula to calculate the torque:
τ = 0.75 × 52.35987755
τ = 39.27 Nm
The torque is 39.27 Nm.
