Question

Torque can be calculated by multiplying the force ( n ) applied at 90 â to the lever arm at a distance ( m ) from the pivot point (point of rotation), the compound si unit for the torque is nâm . if the force (at 90 â to the lever arm) applied is 15 n and it is applied at 2.0 m from the pivot point (point of rotation), what is the torque on the lever?

Answer 1

Answer:

The torque on the lever is 30.0 N m.

Explanation:

Torque is defined as tendency of a force to rotate a body around its axis. Mathematically written as:

$\tau=Force\times d\times \sin \theta$

Force applied on the lever arm at 90°= 15 N

Distance at which force is applied = d = 2.0 m

$\tau =15 N\times 2.0 m\times \sin 90^o= 30.0 N m$

The torque on the lever is 30.0 N m.

Answer 2

The Torque on the lever is 30Nm.

Further Explanation:

Torque

• It is a measure of the amount of force acting on an object that causes the object to rotate about an axis.
• Torque is a vector quantity, in the sense that it has both magnitude and direction.
• Example of torque; when a push is applied on a door, then the distance to the hinge is the perpendicular distance, meaning it is at 90 degrees to the force arrow.

Calculation of Torque

• Torque is calculated by the formula;

T = F x r sin θ

Where r is the length of the moment arm, F is the force making an object to rotate and θ is the angle between the force vector and the moment arm.

• When the force is at right angles to the moment arm then the sin is 1 and the formula becomes;

Torque = F x r

The S.I. units of torque is Newton-meter.

In the question;

Force applied at the lever arm is 15 N  

Distance from the axis of rotation to the force vector is 2.0 m

Angle between the vector force and the moment arm is 90  

Therefore;

Torque = Force x perpendicular distance  

             = 15 N x 2.0 m

            = 30 Nm  

Therefore; The Torque on the lever is 30 Nm

Keywords: Torque, Force, length of the arm  

Learn more about:  

• Torque: https://brainly.com/question/1621931
• Examples of Torque; https://brainly.com/question/2136775

Level: High school  

Subject: Physics  

Topic: Turning effects of Force