Calculating Work Done: 2.2kg Rock Twirled in Perfect Circle at 2.5m/s

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In summary, the conversation is discussing the calculation of work done on a 2.2 kg rock attached to a string and twirled in a perfect circle with a speed of 2.5m/s. The tension force exerted by the string is perpendicular to the direction of motion, resulting in a displacement of 0 and therefore no work being done. The concept of displacement versus distance is also clarified.
  • #1
UrbanXrisis
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A rock mass 2.2 kg is attached to a string of length 1 m is twirled around in a perfect circle as a speed of 2.5m/s. Calcualte the work done on the mass by the tension force exerted on the rock by the string during one revolution of the rock. Ignore the effect of gravitational forces.

Since displacement is 0, would work be done = 0J?
 
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  • #2
sounds good to me
 
  • #3
The tension is perpendicular to the direction of motion - so it should be 0.
 
  • #4
can anyotne please explain to me why is displacement = 0? if displacement was 0, then there would be no circular motion of the rock right?

thanks
 
  • #5
Don't confuse displacement with distance. Displacement measures your position relative to some point. If you go around in a circle, ending up where you started, your displacement from your starting point is zero. (But the distance you traveled is the circumference of the circle.)

FYI: The reason why work is zero in this case is that given by futb0l: the force is perpendicular to the velocity.
 
  • #6
Just think of work as the change in energy. The Rock has the same energy in it anywhere in its circular path, so no work :smile:
 
  • #7
hmmm awrite got it now... thanks much :)
 
  • #8
But different force directions...
 

FAQ: Calculating Work Done: 2.2kg Rock Twirled in Perfect Circle at 2.5m/s

How is work done calculated?

Work done is calculated by multiplying the force applied on an object by the distance the object moves in the direction of the force. This can be represented by the formula W = Fd, where W is work done, F is force, and d is distance.

What is the mass of the rock in the given scenario?

The mass of the rock is 2.2kg, as stated in the problem.

What is the velocity of the rock?

The velocity of the rock is 2.5m/s, as stated in the problem.

How do you find the force applied on the rock?

The force applied on the rock can be found using the formula F = ma, where F is force, m is mass, and a is acceleration. In this scenario, the rock is moving in a circle at a constant speed, so there is no acceleration. Therefore, the force applied on the rock is 0.

What is the unit of measurement for work done?

The unit of measurement for work done is joules (J), which is equivalent to kg*m^2/s^2.

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