# Calculating Net Torque on a Drawbridge Being Lifted by a Cable

## What factors need to be considered when calculating the net torque on a drawbridge being lifted by a cable?

When calculating the net torque on a drawbridge being lifted by a cable, what specific formula should be used?

## Factors to Consider in Calculating Net Torque

When calculating the net torque on a drawbridge being lifted by a cable, several factors need to be considered. These factors include the weight of the drawbridge, the length of the drawbridge, the force exerted by the cable, and the angle at which the force is applied.

## Formula for Calculating Net Torque

The specific formula that should be used to calculate the net torque on a drawbridge being lifted by a cable is τ = r * F * sin(θ), where τ is the torque, r is the distance from the pivot to the point where the force is applied (length of the drawbridge), F is the force exerted by the cable, and θ is the angle of the force with respect to the perpendicular to the lever arm (drawbridge).

When calculating the net torque on a drawbridge being lifted by a cable, it is important to consider several key factors. One of the main factors is the weight of the drawbridge, which in this case is 1500 kg. The length of the drawbridge is also a crucial factor, as it determines the distance from the point of rotation to where the force is applied. In this scenario, the drawbridge is 5.66 meters long.

The force exerted by the cable is another significant factor to take into account. In this case, the cable exerts a force of 10800 N at a 50.0 degree angle. This force needs to be broken down into its components to accurately calculate the net torque on the drawbridge.

The formula τ = r * F * sin(θ) is used to calculate the net torque on the drawbridge being lifted by a cable. By multiplying the distance from the pivot point to where the force is applied (r) by the force exerted by the cable (F) and the sine of the angle (θ), we can determine the net torque acting on the drawbridge.

Considering these factors and using the appropriate formula, we can accurately calculate the net torque on the drawbridge in this scenario. By understanding the relationship between these variables, we can effectively analyze the rotational forces at play and determine the net torque with precision.