Calculating Necessary Newtons for Turning a 1m Wheel with 1kg Mass and 1cm Width

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SUMMARY

To calculate the necessary Newtons to turn a 1-meter radius wheel with a mass of 1 kilogram and a width of 1 cm, one must consider the desired angular velocity and the time to achieve that velocity. The force applied at the outer circumference directly influences the torque and consequently the angular acceleration. Without friction, the relationship between force, torque, and angular acceleration is linear, meaning that lower forces result in longer acceleration times to reach the same rotational speed.

PREREQUISITES
  • Understanding of torque and angular acceleration
  • Knowledge of Newton's second law of motion
  • Familiarity with rotational dynamics
  • Basic principles of frictionless motion
NEXT STEPS
  • Calculate torque using the formula τ = r × F
  • Learn about angular velocity and its calculation
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How much Newtons is needed to turn a wheel with radius 1 meter and mass of one kilogram and width of 1cm, exerting force on the outer circumference of the wheel and assuming no friction occurs?
 
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eddybob123 said:
How much Newtons is needed to turn a wheel with radius 1 meter and mass of one kilogram and width of 1cm, exerting force on the outer circumference of the wheel and assuming no friction occurs?

You can use any amount of force you want. The only thing that will change is the angular acceleration. The smaller the tangential force, the smaller the torque, and hence the more time it will take to accelerate up to any given rotational speed.

In other words, to get a unique answer to your question, you must specify

- what angular velocity you want to reach
- how much time you want it to take to reach that angular velocity
 

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