Answer:
The length of the wire is approximately 67.1 m
Explanation:
The parameters of the pendulum are;
The mass of the pendulum, m = 28 kg
The angle between the pendulum weight and the wire, θ = 89°
The magnitude of the torque exerted by the pendulum's weight, τ = 1.84 × 10⁴ N·m
We have;
Torque, τ = F·L·sinθ = m·g·l·sinθ
Where;
F = The applies force = The weight of the pendulum = m·g
g = The acceleration due to gravity ≈ 9.8 m/s²
l = The length of the wire
Plugging in the values of the variables gives;
1.84 × 10⁴ N·m = 28 kg × 9.8 m/s² × l × sin(89°)
Therefore;
l = 1.84 × 10⁴ N·m/(28 kg × 9.8 m/s² × sin(89°)) = 67.0656080029 m ≈ 67.1 m
The length of the wire, l ≈ 67.1 m
