How do you convert 36 cm/sec to mph?
Answer
627.9k+ views
Hint: Centimeter is a very small measurement of distance when compared to a mile and at the same time second is a very small measurement of time when compared to an hour. We have to use simple mathematical operations to convert a second per second to a mile per hour. In these types of questions, calculation mistakes are very common.
Complete step by step solution:
According to the question we have to convert 36cm/sec to mph,
And as we know that one hour = $60 \times 60$ seconds = $3600$ seconds
And we also know that one mile = 160934 centimeter
Now, we have to convert centimeter into mile
$ \Rightarrow $ $160934$ cm = $1$ mile
$ \Rightarrow $ $1$cm = $\dfrac{1}{{160934}}$ mile (Dividing both sides with 160934)
$ \Rightarrow $ 36cm = $36 \times \dfrac{1}{{160934}}$ mile (Multiply both sides with36)
$ \Rightarrow $ 36cm = $0.00022$ mile (consider it equation 1)
Now, we have to convert second into hours
$ \Rightarrow $ $1$Hour = $3600$ seconds
$ \Rightarrow $$1$ Second = $\dfrac{1}{{3600}}$Hour (Dividing both sides with 3600)
$ \Rightarrow $$1$ Second = 0.00027 (Consider it as equation 2)
Now, to get the answer just divide equation 1 with equation 2
$\dfrac{{0.00022}}{{0.00027}}$ = $0.8$ mph
Hence, this is our answer
Note: It is very efficient to calculate speed in different units of measurements. Representing the same measurement using different units varies from place to place. We can observe that when we convert a larger unit to a comparative lower unit the numerical value gets increased as compared to the original numerical value and when we convert a lower unit to a comparative larger unit the numerical value gets reduced. This property is shown in this question.
Complete step by step solution:
According to the question we have to convert 36cm/sec to mph,
And as we know that one hour = $60 \times 60$ seconds = $3600$ seconds
And we also know that one mile = 160934 centimeter
Now, we have to convert centimeter into mile
$ \Rightarrow $ $160934$ cm = $1$ mile
$ \Rightarrow $ $1$cm = $\dfrac{1}{{160934}}$ mile (Dividing both sides with 160934)
$ \Rightarrow $ 36cm = $36 \times \dfrac{1}{{160934}}$ mile (Multiply both sides with36)
$ \Rightarrow $ 36cm = $0.00022$ mile (consider it equation 1)
Now, we have to convert second into hours
$ \Rightarrow $ $1$Hour = $3600$ seconds
$ \Rightarrow $$1$ Second = $\dfrac{1}{{3600}}$Hour (Dividing both sides with 3600)
$ \Rightarrow $$1$ Second = 0.00027 (Consider it as equation 2)
Now, to get the answer just divide equation 1 with equation 2
$\dfrac{{0.00022}}{{0.00027}}$ = $0.8$ mph
Hence, this is our answer
Note: It is very efficient to calculate speed in different units of measurements. Representing the same measurement using different units varies from place to place. We can observe that when we convert a larger unit to a comparative lower unit the numerical value gets increased as compared to the original numerical value and when we convert a lower unit to a comparative larger unit the numerical value gets reduced. This property is shown in this question.
Recently Updated Pages
Explain the Treaty of Vienna of 1815 class 10 social science CBSE

10 examples of friction in our daily life

Draw a diagram of nephron and explain its structur class 11 biology CBSE

Write structures of the following compounds i 2 Chloro3methylpentane class 11 chemistry CBSE

A Paragraph on Pollution in about 100-150 Words

XIX+XXX A 49 B 51 C 55 D 44 class 5 maths CBSE

Trending doubts
List of coprime numbers from 1 to 100 class 7 maths CBSE

The plural of Chief is Chieves A True B False class 7 english CBSE

Write a short note on the great bath of MohenjoDar class 7 social science CBSE

Differentiate between weather and climate How do they class 7 social science CBSE

Mark the following places in the given outline map class 7 social science CBSE

What is BLO What is the full form of BLO class 8 social science CBSE


