Finding the magnitude of Torque

In summary, to calculate the magnitude of the torque produced by a force F applied at an angle θ, use the formula t = rF sinθ, where r is the distance between the point of application O and the force and θ is the angle between the radial vector connecting O and F and the direction of the force. In this case, the angle is 35.0° and the distance is given by the dimensions of the box, y = 2.51 m and x = 1.62 m.
  • #1
nina123
5
0

Homework Statement



A force F = 75.0 N is applied to a box with dimensions y = 2.51 m, x = 1.62 m. The force is applied at an angle θ with respect to the horizontal. For θ = 35.0°, calculate the magnitude of the torque produced by F about the point O.
(reference attached picture)

Homework Equations



t=rFsinθ=r[itex]\bot[/itex]F=rF[itex]\bot[/itex]

The Attempt at a Solution



For the other questions like this i just used t=rF when the angles were 0 and 90deg.
but now that it is at a 35deg angle the same formula doesn't work.

HELP PLEASE?
 

Attachments

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  • #2
In your formula for the torque, the angle θ corresponds to the angle between the radial vector (connecting the points O and F) and the direction of the force.
In your image, draw this radial vector and then you can see what the angle between the radial vector and the force is. Use this angle in the formula.
 
  • #3
Thanks!
 

What is torque and how is it related to rotational motion?

Torque is a measure of the force that causes an object to rotate around an axis. It is related to rotational motion because it is directly proportional to the angular acceleration of an object.

How do you calculate the magnitude of torque?

The magnitude of torque can be calculated by multiplying the force applied to an object by the distance from the axis of rotation to the point where the force is applied. This can be represented by the formula T = F x r, where T is torque, F is force, and r is distance.

What are the units of torque?

The units of torque are typically represented in newton-meters (N⋅m) or foot-pounds (ft⋅lb). However, other units such as joules (J) or dyne-centimeters (dyn⋅cm) may also be used.

How does the direction of the force affect the magnitude of torque?

The direction of the force applied to an object affects the magnitude of torque because torque is a vector quantity and its magnitude is dependent on both the force and the distance from the axis of rotation. Changing the direction of the force can result in a different magnitude of torque.

What are some real-world applications of torque?

Torque has many practical applications in everyday life, such as opening a door, tightening a bolt, or turning a steering wheel. It is also important in fields such as engineering, physics, and mechanics for understanding the motion and stability of objects.

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