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

1.19 revolutions per second.

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
`(7)/(10)` second, a rotating object makes =
`(5)/(6)` revolution

In 1 second, a rotating object makes =
`(5)/(6)/(7)/(10)`

`=(5)/(6)*(10)/(7) = (50)/(42)=1.190\ revolution`

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

We can also find by,
`speed = (distance)/(time)`

`=(5)/(6) /(7)/(10) \\=(5)/(6) *(10)/(7) =(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.