Question

A rotating object makes 5/6 of a revolution in 7/10 second. Find the approximate speed in revolutions per second. Write your answer as a decimal to the nearest hundreth.

Answer 1

Answer:

1.19 revolutions per second.

Step-by-step explanation:

Given:

A rotating object makes 5/6 of a revolution in 7/10 second.

To find:

Find the approximate speed in revolutions per second ?

Solution:

As here given that a rotating object makes 5/6 of a revolution in 7/10 second,

we will have to find that in one second how many revolution does this object make:

By unitary method:

In $\frac{7}{10}$ second, a rotating object makes = $\frac{5}{6}$  revolution

In 1 second, a rotating object makes = $\frac{5}{6}\div\frac{7}{10}$

                                                            $=\frac{5}{6}\times\frac{10}{7} = \frac{50}{42}=1.190\ revolution$

Therefore, the approximate speed of object is 1.19 revolution per second.

We can also find by, $speed = \frac{distance}{time}$

                                            $=\frac{5}{6} \div\frac{7}{10} \\=\frac{5}{6} \times\frac{10}{7} =\frac{50}{42} = 1.19$

We can use any one to solve this type of question:

Finally, the approximate speed is 1.19 revolutions per second.