Lesson Example Discussion Quiz: Class Homework |
Step-4 |
Title: Miscellaneous - 2 |
Grade: 7-a Lesson: S1-L10 |
Explanation: |
| Step | Type | Explanation | Answer |
|---|---|---|---|
1 |
Problem |
The diameter of a wheel of a car is 98cm . How many revolutions will it make to travel 6160 meters? |
|
2 |
Given |
Given diameter of the wheel of a car is 98 cm. |
|
3 |
Step |
In one revolution of the wheel, the car travels a distance equal to the circumference of the wheel. |
|
4 |
Formula: |
Circumference of the wheel of the car. |
\$C = π d \$ |
5 |
Step |
Substitute \$22/7\$ for \$\pi\$ and 98 for d. |
\$C =\frac{22}{7} \times 98 \$ |
6 |
Step |
Cancel ou the common factor. |
\$\frac{22}{\cancel{7}^1} \times \cancel{98}^{14} \$ |
7 |
Step |
Multiply. |
\$308 \$ cm |
8 |
Step |
The distance travelled by the car in one revolution is 308 cm. |
|
9 |
Step |
Total distance travelled by the car |
\$6160 m = 616000 cm\$ |
10 |
Step |
Answer |
616000 cm |
11 |
Formula: |
Therefore number of revolutions is |
\begin{align} \frac{\text{total distance travelled by the car}}{\text{distance travelled by the car in one hour}}] \end{align} |
12 |
Step |
Number of revolutions |
\$\frac{616000}{308}\$ |
13 |
Step |
Cancel out the common factor. |
\$(\cancel{616000}^{2000})/\(cancel{308}^{1})\$ |
14 |
Answer |
2000 revolutions will it make to travel 6160 meters. |
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