Question

Some spiders can spin a web at 3 cm per second. Convert this rate to meters per minute. (100 cm = 1 m)

Answer 1

Answer:

1.8m per minute

Step-by-step explanation:

Answer 2

Answer:

$\frac{1.8 \ m}{1 \ min}$ ; (1.8 meters per minute)

Step-by-step explanation:

Use dimensional analysis to solve this problem.

The proper units of conversion are given in parentheses on this question: 100 cm = 1 m.

Start with the given value, 3 centimeters/1 second.

• $\frac{3 \ cm}{1\ sec}$

Convert this rate to meters/minute by multiplying 3 cm/1 sec by 1 m/100 cm.

• $\frac{3 \ cm}{1 \ sec} * \frac{1 \ m}{100 \ cm}$

The top and bottom units should cancel out, so that's how you know to put the cm units on the bottom to cancel out with the 3 cm on the top.

Multiply the fractions together. The "cm" units cancel out.

• $\frac{3\ m}{100 \ sec}$

Now you want to make the bottom units = minutes. There are 60 seconds in 1 minute, so you can use $\frac{60 \ sec}{1 \ min}$ to multiply with $\frac{3\ m}{100 \ sec}$.

• $\frac{3\ m}{100 \ sec} * \frac{60 \ sec}{1 \ min}$

The "seconds" unit cancels out, so you are left with meters on the top and minutes on the bottom. Multiply the fractions together.

• $\frac{180 \ m}{100 \ min}$

We want the rate to be meters per minute (1), so completely simplify this fraction and divide the fraction by (100/100), so the denominator is 1 min.

• $\frac{180 \ m}{100 \ min} \div \frac{100}{100}= \frac{1.8 \ m}{1 \ min}$