# Waves & SHM, HELP

1. Jan 28, 2009

### Malaya

1. The problem statement, all variables and given/known data

To measure the acceleration due to gravity on a distant planet, an astronaut hangs a 0.060-kg ball from the end of a wire. The wire has a length of 1.5 m and a linear density of 3.1 multiplied by 10-4 kg/m. Using electronic equipment, the astronaut measures the time for a transverse pulse to travel the length of the wire and obtains a value of 0.098 s. The mass of the wire is negligible compared to the mass of the ball. Determine the acceleration due to gravity.

m=.06 kg
l=1.5m
linear density= 3.1 multiplied by 10-4 kg/m
t(time)=0.098 s
a=?

2. Relevant equations
v=d/t
v=√ F/linear density
F=ma

3. The attempt at a solution

v=dt
v=1.5 x .098
v=.147

v=√ F/linear density
.147=√ F/3.1 multiplied by 10-4 kg/m
.0216=F/3.1 multiplied by 10-4 kg/m
.0216 x 3.1 multiplied by 10-4 kg/m=F
F= 6.699e-6

F=ma
6.699e-6=.06 kg x a
a=1.12e-4

Why??

2. Jan 28, 2009

### Hannisch

Well, in your Relevant Equations you state that v=d/t (which is correct) but in the first step of your solution you seem to use v=d*t.

It might just be as simple as that.

3. Jan 28, 2009

### Malaya

Wow, thank you sooooo much, its funny how little mistakes can make a mess out of a problem!