Math Is Fun Forum

camicat

Member

Registered: 2020-02-27

Posts: 11

Radicals and Roots

Hello, I'm once again posting because I need help with a word problem. I can't even decipher what I need to solve. Here is the word problem, thanks in advance for any help!

10. A weight hangs on a spring. The vibration period of that weight is the time in which it makes a complete cycle in motion. Suppose the relationship between the vibration period "T" (in seconds) and the weight "w" (in kilograms) is given by T = 2 pi SQRT(w / 200). Find the period T, to the nearest thousandth, for a spring with a hanging weight of 2.0 kilograms.

Bob

Administrator

Registered: 2010-06-20

Posts: 10,626

Re: Radicals and Roots

hi camicat

You have been given a formula

The units match ok, seconds and kilograms, and T is already the subject of the equation.  So it's just a case of putting in w = 2 and working out T.  Order of steps to take:

divide w by 200
square root that number.
multiply by pi
multiply by 2

There's the required T .

round off.

Bob

---

Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you!  …………….Bob

camicat

Member

Registered: 2020-02-27

Posts: 11

Re: Radicals and Roots

Hi, Bob!

This was very helpful, thank you!