Question

The vibration in a plucked guitar string travels at a speed of 410 meters per second. How far, in centimeters will the vibration travel in 0.40 milliseconds? Note: There are 100 centimeters in one meter and 1000 milliseconds in one second.

Answer 1

Answer:

16.4 cm/0.4 ms

Explanation:

1: We know that the travel rate is 410 meters per second. We want to find a way in which we can cancel meters or seconds, and we can do that by multiplying 410m/1s with 100 cm/1m.

$\frac{410 m}{1s} * \frac{100cm}{1m}$

2. Now we want to get rid of that s, seconds, and we do so by multiplying prior fractions by 1s/1000ms.

$\frac{410 m}{1s} * \frac{100cm}{1m} * \frac{1s}{1000ms}$

3. Now we can diagnollay cross out m, and s. Leaving us with cm on top, and ms on the bottom. Which is what we want because we are calculating how many cm are for every .04 ms.

4: After that, you can multiply 410 and 100, to get 4,100. Whih leaves you with 4,100cm over 1000ms. Simplifying this, gives you 41, but that is NOT your answer. 41 cm, is for every ms, NOT every .04

5. Hence, you multiply 41 by .04 and get 16.4cm/.04ms.