Solved on Sep 28, 2023

Convert to find the equivalent rate of 780 cm/min in mm/s.

STEP 1

Assumptions1. We are converting from centimeters per minute to millimeters per second. . There are10 millimeters in1 centimeter.
3. There are60 seconds in1 minute.

STEP 2

First, we need to convert the numerator (centimeters) to millimeters. We can do this by multiplying the given value by the conversion factor.
$780 \text{ cm} =780 \text{ cm} \times10 \text{ mm/cm}$

STEP 3

Calculate the equivalent value in millimeters.
$780 \text{ cm} =7800 \text{ mm}$

STEP 4

Next, we need to convert the denominator (minutes) to seconds. We can do this by dividing the given value by the conversion factor.
$1 \text{ minute} =1 \text{ minute} /60 \text{ seconds/minute}$

STEP 5

Calculate the equivalent value in seconds.
$1 \text{ minute} =0.0166667 \text{ seconds}$

STEP 6

Now, we can find the equivalent rate in millimeters per second by dividing the equivalent value in millimeters by the equivalent value in seconds.
$\frac{7800 \text{ mm}}{0.016666 \text{ seconds}}$

STEP 7

Calculate the equivalent rate in millimeters per second.
$\frac{7800 \text{ mm}}{0.0166667 \text{ seconds}} =468000 \text{ mm/second}$ The equivalent rate is468000 millimeters per second.

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Convert to find the equivalent rate of 780 cm/min in mm/s.

STEP 1

Assumptions1. We are converting from centimeters per minute to millimeters per second. . There are10 millimeters in1 centimeter.
3. There are60 seconds in1 minute.

STEP 2

First, we need to convert the numerator (centimeters) to millimeters. We can do this by multiplying the given value by the conversion factor.
$780 \text{ cm} =780 \text{ cm} \times10 \text{ mm/cm}$

STEP 3

Calculate the equivalent value in millimeters.
$780 \text{ cm} =7800 \text{ mm}$

STEP 4

Next, we need to convert the denominator (minutes) to seconds. We can do this by dividing the given value by the conversion factor.
$1 \text{ minute} =1 \text{ minute} /60 \text{ seconds/minute}$

STEP 5

Calculate the equivalent value in seconds.
$1 \text{ minute} =0.0166667 \text{ seconds}$

STEP 6

Now, we can find the equivalent rate in millimeters per second by dividing the equivalent value in millimeters by the equivalent value in seconds.
$\frac{7800 \text{ mm}}{0.016666 \text{ seconds}}$

STEP 7

Calculate the equivalent rate in millimeters per second.
$\frac{7800 \text{ mm}}{0.0166667 \text{ seconds}} =468000 \text{ mm/second}$ The equivalent rate is468000 millimeters per second.

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Convert to find the equivalent rate of 780 cm/min in mm/s.

STEP 1

Assumptions1. We are converting from centimeters per minute to millimeters per second. . There are10 millimeters in1 centimeter.3. There are60 seconds in1 minute.

STEP 2

First, we need to convert the numerator (centimeters) to millimeters. We can do this by multiplying the given value by the conversion factor.780 cm=780 cm×10 mm/cm780 \text{ cm} =780 \text{ cm} \times10 \text{ mm/cm}780 cm=780 cm×10 mm/cm

STEP 3

Calculate the equivalent value in millimeters.780 cm=7800 mm780 \text{ cm} =7800 \text{ mm}780 cm=7800 mm

STEP 4

Next, we need to convert the denominator (minutes) to seconds. We can do this by dividing the given value by the conversion factor.1 minute=1 minute/60 seconds/minute1 \text{ minute} =1 \text{ minute} /60 \text{ seconds/minute}1 minute=1 minute/60 seconds/minute

STEP 5

Calculate the equivalent value in seconds.1 minute=0.0166667 seconds1 \text{ minute} =0.0166667 \text{ seconds}1 minute=0.0166667 seconds

STEP 6

Now, we can find the equivalent rate in millimeters per second by dividing the equivalent value in millimeters by the equivalent value in seconds.7800 mm0.016666 seconds\frac{7800 \text{ mm}}{0.016666 \text{ seconds}}0.016666 seconds7800 mm​

STEP 7

Calculate the equivalent rate in millimeters per second.7800 mm0.0166667 seconds=468000 mm/second\frac{7800 \text{ mm}}{0.0166667 \text{ seconds}} =468000 \text{ mm/second}0.0166667 seconds7800 mm​=468000 mm/secondThe equivalent rate is468000 millimeters per second.

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Assumptions1. We are converting from centimeters per minute to millimeters per second. . There are10 millimeters in1 centimeter.
3. There are60 seconds in1 minute.

First, we need to convert the numerator (centimeters) to millimeters. We can do this by multiplying the given value by the conversion factor.
$780 \text{ cm} =780 \text{ cm} \times10 \text{ mm/cm}$

Calculate the equivalent value in millimeters.
$780 \text{ cm} =7800 \text{ mm}$

Next, we need to convert the denominator (minutes) to seconds. We can do this by dividing the given value by the conversion factor.
$1 \text{ minute} =1 \text{ minute} /60 \text{ seconds/minute}$

Calculate the equivalent value in seconds.
$1 \text{ minute} =0.0166667 \text{ seconds}$

Now, we can find the equivalent rate in millimeters per second by dividing the equivalent value in millimeters by the equivalent value in seconds.
$\frac{7800 \text{ mm}}{0.016666 \text{ seconds}}$

Calculate the equivalent rate in millimeters per second.
$\frac{7800 \text{ mm}}{0.0166667 \text{ seconds}} =468000 \text{ mm/second}$ The equivalent rate is468000 millimeters per second.