Does Tarzan's Vine Break During His Swing Across the River?

In summary, Tarzan (mass=85kg) attempts to cross a river by swinging on a 10.0m vine with a velocity of 8.0m/s. However, the vine has a breaking strength of 1.0*10^3N and Tarzan's weight is not accounted for in the equation. Therefore, he does not make it safely across the river.
  • #1
Karex
2
0
Tarzan (m=85kg) tries to cross a river by swiming from 10.0m long vine. His speed at the bottom of the swing, just as he clears the water, is 8.0m/s. Tarzan doesn't know that the vine has a breaking strength of 1.0*10^3 N. Does he make it safely across the river?

mass= 85kg
rope= 10m
velocity= 8.0m/s
Tension= 1.0*10^3N
and it has to do with this equation somehow

Fc(force that maintains circular motion)
mass (m)
Vt^2 (tangential speed)^2
r (distance to axis)
w (angular speed)

Fc=m*((Vt^2)/r) or Fc=m*r*(w)^2

I know the answer is no but i don't know how to get there
well thanks again
 
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  • #2
While you have a centripetal force, I think you are missing the force from his weight.
 
  • #3
Physics girl phd is right, you have to count the weight in, and, by the way, by typing 'Tarzan' into the search box, I'm sure you'll find at least two very similar (if not same) problems.
 
  • #4
This isn't advanced physics.
 

FAQ: Does Tarzan's Vine Break During His Swing Across the River?

What is circular motion?

Circular motion is the movement of an object along a circular path or orbit. In this type of motion, the object's velocity is constantly changing, as it is always changing direction.

How is tension related to circular motion?

Tension is the force that is exerted on an object by a string or rope when it is stretched. In circular motion, tension is responsible for keeping an object moving in a circular path, as it acts as the centripetal force pulling the object towards the center of the circle.

What is centripetal force?

Centripetal force is the force that keeps an object moving in a circular path. In circular motion, this force is provided by tension, which is directed towards the center of the circle.

How is circular motion different from linear motion?

Circular motion involves an object moving along a curved path, whereas linear motion involves an object moving along a straight path. In circular motion, the direction of the object's velocity is constantly changing, while in linear motion, the velocity remains constant.

How does the radius of the circular path affect tension in circular motion?

The tension in circular motion is directly proportional to the radius of the circular path. This means that as the radius increases, the tension also increases, and vice versa. This is because a larger radius requires a greater centripetal force, which is provided by tension.

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