Force & Torque: Acceleration, Power & Angular Velocity

  • Thread starter Mohammed Ayaz Quadri
  • Start date
  • Tags
    Force Torque
In summary, the conversation discusses the relationship between force, acceleration, power, torque, and angular velocity. Force can sometimes move an object with uniform motion instead of accelerating it, and power is equal to force multiplied by velocity. Torque can either accelerate an object angularly or maintain its uniform angular velocity. The equations for calculating acceleration and power use the net force or torque, while the equations for calculating power use the force or torque provided by the engine.
  • #1
Mohammed Ayaz Quadri
26
2
How can Force, sometimes instead of accelerating moves an object with a uniform motion. And how Power equals force into speed if force should accelerate. What does torque do, accelerate angularly or move object with unform angular velocity. How Power equals Torque into Angular Velocity if torque is due to a force with should constantly increase magnitude of velocity of object.
 
Physics news on Phys.org
  • #2
Mohammed Ayaz Quadri said:
How can Force, sometimes instead of accelerating moves an object with a uniform motion.

The relevant equation is

Force = mass * acceleration ... (1)

Where Force is the net force acting on the object. So you only get get acceleration if there is a net force acting on the object. So for example an aircraft moves at a constant velocity when thrust = drag. In that case there is no net force acting on the aircraft in the horizontal direction.

And how Power equals force into speed if force should accelerate.

Work = force * displacement
Power = Work/time
So...
Power = force * displacement/time

Displacement/time = velocity
So...
Power = force * velocity

What does torque do, accelerate angularly or move object with unform angular velocity.

The relevant equation is

Torque = moment of inertia * angular acceleration...(2)

Where Torque is the net torque acting on the object. Compate equation 2 with 1 above.

How Power equals Torque into Angular Velocity if torque is due to a force with should constantly increase magnitude of velocity of object.

Work = torque * angular displacement
Power = work/time
So...
Power = torque * angular displacement/time

Angular displacement/time = angular velocity
So...
Power = torque * angular velocity
 
  • Like
Likes russ_watters
  • #3
Note that the equation for calculating acceleration use the NET force or torque. The equations for calculating the power use the force or torque provided by the engine. Do you see the difference?
 

1. What is force and how does it affect acceleration?

Force is a physical quantity that can cause an object to accelerate or change its motion. It is measured in Newtons (N) and is calculated by multiplying an object's mass by its acceleration. In other words, the greater the force applied to an object, the greater its acceleration will be.

2. What is torque and how does it relate to angular velocity?

Torque is a measure of the force that can cause an object to rotate. It is calculated by multiplying the force applied to an object by the distance from the axis of rotation. Torque and angular velocity are directly proportional, meaning that an increase in torque will result in an increase in angular velocity. This relationship is described by the equation: torque = moment of inertia x angular acceleration.

3. How is power related to force and velocity?

Power is the rate at which work is done, or the amount of energy transferred per unit time. It is calculated by multiplying force by velocity. In other words, the greater the force applied to an object, and the faster it is moving, the more power is being exerted.

4. What is the difference between linear and angular acceleration?

Linear acceleration refers to the change in an object's speed over time, while angular acceleration refers to the change in an object's rotational speed over time. Linear acceleration is measured in meters per second squared (m/s^2), while angular acceleration is measured in radians per second squared (rad/s^2).

5. How do force and torque play a role in everyday life?

Force and torque are present in many everyday activities, such as pushing a door open, riding a bike, or even walking. They are also important in the functioning of machines and vehicles, such as cars and planes. Understanding force and torque is essential in designing and improving these machines for better performance and efficiency.

Similar threads

  • Mechanics
Replies
7
Views
1K
Replies
4
Views
855
Replies
9
Views
1K
Replies
9
Views
245
Replies
3
Views
1K
Replies
0
Views
504
Replies
52
Views
4K
Replies
4
Views
1K
Replies
5
Views
1K
Back
Top