Force & Torque: Acceleration, Power & Angular Velocity

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SUMMARY

This discussion clarifies the relationship between force, torque, power, and their respective equations in physics. It establishes that force can maintain uniform motion when net force is zero, as seen in aircraft moving at constant velocity. The equations presented include Force = mass * acceleration and Torque = moment of inertia * angular acceleration, highlighting that power is calculated as Power = force * velocity and Power = torque * angular velocity. The distinction between net force or torque for acceleration and the force or torque provided by the engine for power calculations is emphasized.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Familiarity with the concepts of force and torque
  • Knowledge of power and its calculation in physics
  • Basic grasp of angular motion and displacement
NEXT STEPS
  • Study the implications of net force in uniform motion scenarios
  • Explore the relationship between torque and angular acceleration in detail
  • Learn about the applications of Power = torque * angular velocity in engineering
  • Investigate real-world examples of force and torque in aircraft dynamics
USEFUL FOR

Students of physics, engineers, and anyone interested in understanding the dynamics of force, torque, and power in mechanical systems.

Mohammed Ayaz Quadri
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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.
 
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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
 
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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?
 

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