Finding torque to life object at a certain acceleration

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SUMMARY

The discussion focuses on calculating the required torque for a motor connected to a solid cylindrical drum with a diameter of 1.2 m and a mass of 51 kg, lifting a 38 kg weight with an acceleration of 1.1 m/s². The user initially applied Newton's second law to find the tension in the rope but struggled to derive the correct torque. The correct approach involves calculating the net force acting on the weight and then using the radius of the drum to find the torque by multiplying the tension by the radius.

PREREQUISITES
  • Understanding of Newton's second law of motion
  • Knowledge of torque calculation (Torque = Force x Radius)
  • Familiarity with basic physics concepts related to rotational motion
  • Ability to perform unit conversions and basic algebra
NEXT STEPS
  • Review the principles of Newton's second law in detail
  • Study torque calculations in rotational dynamics
  • Explore examples of lifting systems involving pulleys and drums
  • Learn about the implications of mass and acceleration on force calculations
USEFUL FOR

Students studying physics, particularly those focusing on mechanics, engineers working with motor-driven systems, and anyone interested in understanding torque and acceleration relationships in practical applications.

bambam123
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Homework Statement



A motor is connected to a solid cylindrical drum with a diameter of 1.2 m and a mass of 51 kg. A massless rope is attached to the drum and tied at the other end to a 38 \rm kg weight, so the rope will wind onto the drum as it turns.

What torque must the motor apply if the weight is to be lifted with an acceleration of 1.1 m/s^2

Homework Equations


i have no idea how to do this problem. Could somebody give a me a step by step walkthrough

The Attempt at a Solution


i first did Newtons second law for the mass hanging. i found the force of tension. then i took the force of tension and multiplied it by radius of drum and i got the torque. but i keep getting the wrong answere
 
Last edited:
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ignore the rm after the 38
 
Welcome to Physics Forums.

bambam123 said:

Homework Equations


i have no idea how to do this problem. Could somebody give a me a step by step walkthrough
Sorry, but that is not how we give help here.

The Attempt at a Solution


i first did Newtons second law for the mass hanging. i found the force of tension. then i took the force of tension and multiplied it by radius of drum and i got the torque. but i keep getting the wrong answere
Show us what you got for the tension and torque, and please show how you got it. Then we can provide help.
 

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