QuestionConvert a bicycle speed of $6 \mathrm{~m/s}$ to $\mathrm{km/h}$ . (Use $1 \mathrm{~km}=1000 \mathrm{~m}$ )

Studdy Solution

STEP 1

Assumptions1. The speed of the bicycle is given as $6 \, m/s$ . The conversion factor from meters to kilometers is $1 \, km =1000 \, m$
3. The conversion factor from seconds to hours is $1 \, hour =3600 \, seconds$

STEP 2

First, we need to convert the speed from meters per second to kilometers per hour. We can do this by multiplying the speed by the conversion factors.
$Speed_{km/h} = Speed_{m/s} \times \frac{1 \, km}{1000 \, m} \times \frac{3600 \, s}{1 \, hour}$

STEP 3

Now, plug in the given values for the speed and the conversion factors to calculate the speed in kilometers per hour.
$Speed_{km/h} =6 \, m/s \times \frac{1 \, km}{1000 \, m} \times \frac{3600 \, s}{1 \, hour}$

STEP 4

implify the equation by canceling out the units of meters and seconds.
$Speed_{km/h} =6 \times \frac{1}{1000} \times3600$

STEP 5

Calculate the speed in kilometers per hour.
$Speed_{km/h} = \times \frac{1}{1000} \times3600 =21. \, km/h$ The bicycle's speed is $21. \, km/h$ .

Was this helpful?

Get Studdy

Scan QR code with your device to get Studdy on iOS or Android

QR code

Studdy solves anything!

Download the app

Start learning now

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

Parents Influencer program Contact Policy Terms