Solve for Mass: Find Tension of Hanging Object

[Willywang]

Homework Statement

you have a object hanging from your roof, once it reaches constant velocity, the diameter of its motion is .755m, and it takes 8.5 seconds to travel 10 cycles. the cord is .46m long

Homework Equations

what is the tension of the cord?
let alone, how do i find the mass of the object?

The Attempt at a Solution

i came up with the equation that T=mx(4)x(pie)^2 x (r)/P^2
but i have everything except for mass in order to solve this.

So..in an attempt to find mass...
i found velocity of the object travels at 2.78 m/s

with F=mv^2/r and A= v^2/r i can substitute F and A in F=ma

but when plugging in numbers, i find that M cancels out each other, leaving me with a dead end.

So, basically if someone can help me find the mass of the object i can solve tension myself

Thanks

 

[anathema]

for sharing your equations and thought process so far. It seems like you are on the right track in terms of using the equations for centripetal force and acceleration to find the mass of the object.

To find the mass, you can rearrange the equation F=ma to solve for m. This would give you the mass in terms of the force and acceleration, which you can calculate using the given diameter and time period.

Another approach you can take is to use the equation for centripetal force, F=mv^2/r, and substitute in the values for velocity and radius to solve for the mass.

Once you have the mass of the object, you can then use the equation for tension, T=mv^2/r, to calculate the tension in the cord. Remember that the velocity in this equation is the tangential velocity, which can be calculated using the diameter and time period.

I hope this helps you solve the problem. Good luck!