Find Max Speed Before String Breaks for 6 kg Rock on Rope

In summary, the problem involves a 6 kg rock spinning in a circle with a radius of 1.5m and a maximum tension of 75. The task is to determine the maximum speed before the string breaks. Using the equations Fnet=ma and a=4\pi2R/T2, we can calculate the acceleration and then use a=v2/R to find the speed.
  • #1
TheronSimon
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0

Homework Statement


so there's a 6 kg rock spinning in a circle with a string that can with stand a maximum tension of 75 and a radius of 1.5m
and i need to find the maximum speed before the string will break

Homework Equations



Fnet=ma
a=4[itex]\pi[/itex]2R/T2

The Attempt at a Solution


so Fnet =ma and a = 4[itex]\pi[/itex]2R/T2
so Fg = m*4[itex]\pi[/itex]2R/T2
so 6*9.8 = 6*4[itex]\pi[/itex]21.5/T2
so 58.8 = 284.24 / T2
so T = 2.2

no would i be able to use this formula a=4[itex]\pi[/itex]2R/T2 to find the acceleration and then use a= v2/R to get the speed?
 
Last edited:
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  • #2
anyone?
 
  • #3
no nothing?
 

FAQ: Find Max Speed Before String Breaks for 6 kg Rock on Rope

What is the purpose of finding the max speed before the string breaks for a 6 kg rock on a rope?

The purpose of this experiment is to determine the maximum speed at which a 6 kg rock can be swung on a rope without breaking the string. This can help us understand the limitations of the rope and its ability to withstand tension and stress.

What materials are needed for this experiment?

This experiment requires a 6 kg rock, a strong rope, a secure place to hang the rope, a stopwatch, and a measuring tape. It is also important to have safety equipment such as goggles and gloves.

How do you conduct this experiment?

First, secure the rope in a place where it can be easily swung. Then, attach the 6 kg rock to the end of the rope. Start the stopwatch and begin swinging the rock in a circular motion. Increase the speed gradually until the string breaks. Use the measuring tape to record the length of the rope and the stopwatch to record the time it took for the string to break.

What factors can affect the max speed before the string breaks?

There are several factors that can affect the maximum speed before the string breaks, such as the strength and thickness of the rope, the material the rope is made of, and the weight and shape of the rock. Other environmental factors like wind and temperature can also have an impact on the results.

What are the potential applications of this experiment?

This experiment can have practical applications in many industries, such as rock climbing and construction. It can also help engineers and scientists understand the limitations of different materials and how they can be used in various situations where tension and stress are involved.

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