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

  • Thread starter Thread starter TheronSimon
  • Start date Start date
  • Tags Tags
    Rock String
AI Thread Summary
To determine the maximum speed of a 6 kg rock spinning in a circle before the string breaks, the maximum tension of 75 N must be considered. The net force equation Fnet = ma is applied, along with the centripetal acceleration formula a = 4π²R/T². The calculations show that the gravitational force equals the centripetal force, leading to a tension calculation of T = 2.2 seconds for the period. The user seeks confirmation on whether to use the acceleration formula to find speed using a = v²/R. The discussion emphasizes the relationship between tension, acceleration, and speed in circular motion.
TheronSimon
Messages
37
Reaction score
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\pi2R/T2

The Attempt at a Solution


so Fnet =ma and a = 4\pi2R/T2
so Fg = m*4\pi2R/T2
so 6*9.8 = 6*4\pi21.5/T2
so 58.8 = 284.24 / T2
so T = 2.2

no would i be able to use this formula a=4\pi2R/T2 to find the acceleration and then use a= v2/R to get the speed?
 
Last edited:
Physics news on Phys.org
anyone?
 
no nothing?
 
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
View full post »

Thread 'Struggle to understand the concept of the question (ice cube in water optics question)'

TL;DR Summary: I came across this question from a Sri Lankan A-level textbook. Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water. I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...
View full post »

Similar threads

Two Blocks and a Pulley Friction Problem
Replies
2
Views
4K
Circular Motion: Ball on String
Replies
9
Views
2K
Determine the speed and tension of keys swinging in a circular path
Replies
8
Views
2K
How Do You Solve a Complex Energy Pulley Problem?
Replies
9
Views
2K
Tension on a Massive Rope: How to Calculate Tension at Different Points
Replies
11
Views
3K
Two masses connected by a weighted rope pulled vertically
Replies
5
Views
5K
2 blocks connected by massless string VS. pulley system
Replies
4
Views
3K
What is the power input of a motor pulling up an elevator?
Replies
3
Views
3K
Calculating tensions in ropes suspending an onject
Replies
2
Views
2K
What is the largest pulling force before the string breaks?
Replies
13
Views
5K

Hot Threads

Recent Insights

Back
Top