# Calculating torque, force and angles

• Leata
In summary, a lever is being used to lift a box at a 43° angle with a length of 1.8m. Force P is applied at a 15° angle at the end of the lever, causing a moment of 500N.m about point A. To determine the force P, the formula for torque is used, where theta represents the interior angle between the force vector and the lever. Without a sketch, the accuracy of theta cannot be determined.
Leata

## Homework Statement

A lever is used to lift a box, ignore the mass. the lever makes a 43° angle at the pivot, point A, the length of the lever is 1,8 m, Force P is apply 15° at the end of the lever
Force P causes a moment of 500N.m about point A. Determine the force P?

T=rFsinθ

## The Attempt at a Solution

T=rFsinθ
F=T/rsinθ
F=500/1.8sin15
F=1073N

When using your formula for Torque, theta is the interior angle in between the force vector and the lever. Without a sketch, I don't know if you correctly determined theta. Welcome to PF!

## 1. How do you calculate torque?

To calculate torque, you need to multiply the force applied by the perpendicular distance from the point of application to the axis of rotation. The formula for torque is T = F x r, where T is torque, F is force, and r is the distance from the axis of rotation.

## 2. What is the difference between torque and force?

Torque and force are related but different concepts. Force is a push or pull that causes an object to accelerate, while torque is a twisting force that causes an object to rotate. Torque is calculated by multiplying the force by the distance from the axis of rotation, while force is calculated by multiplying mass by acceleration.

## 3. How do you calculate the angle of a force?

The angle of a force can be calculated using trigonometry. You can use the formula tan θ = opposite/adjacent, where θ is the angle, opposite is the side opposite the angle, and adjacent is the side adjacent to the angle. You can also use the inverse tangent function on a calculator to find the angle.

## 4. What is the unit of torque?

The unit of torque is newton-meter (Nm) in the SI system, or foot-pound (ft-lb) in the imperial system. It is a combination of the unit of force (newton or pound) and the unit of distance (meter or foot).

## 5. What is the importance of calculating torque, force, and angles in science?

Calculating torque, force, and angles is crucial in many areas of science, such as physics, engineering, and biomechanics. These calculations help us understand the motion and stability of objects, design and optimize machines and structures, and analyze the forces acting on biological systems. They are also essential in solving real-world problems and developing new technologies.

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