Answer:
The torque is approximately 3.82 N·m
Step-by-step explanation:
The relationship between work done, 'W', and the applied torque, 'τ' can be presented as follows;
W = τ × Δθ
Where;
W = The work done by the torque
τ = The magnitude of the torque
Δθ = The angle through which the object is turned
The parameters for 'W' and 'Δθ' are;
W = 3j
Δθ = 1/4 × π
From W = τ × Δθ, we have;
τ = W/Δθ
∴ τ = 3j/(1/4 × π) ≈ 3.81971863421 N·m
The torque, τ ≈ 3.82 N·m