Question

Three wheels make 18, 24, 54 rev/min. each has a black mark on it. it is aligned at the start. when does it align again for the first time?

Answer 1

Answer:

10 second correct percentage

Answer 2

Concept:

The sums involving revolutions of any circular stuff is the basic concept of basic arithmetic mathematics. These help in the knowledge of prediction without any grave error to it.

Given:

Revolutions per minute of three different wheels are

$18 \\ 24 \\ 54$

Each has a black mark on it that is aligned at the beginning of the revolutionary motion of the wheels.

Find:

When does it align again after the beginning of the motion?

Solution:

Applying the principle of LCM to it, we get the LCM of the given revolutions per minute of the wheels as,

$216$

Now, finding the time of each wheel to complete a revolution,

$\frac{60}{18} = \frac{10}{3} \\ \frac{60}{24} = \frac{10}{4} \\ \frac{60}{54} = \frac{10}{9}$

that means in

$10 \: secs$

the wheels will complete

$3 \\ 4 \\ 9 \:$

revolutions respectively. Therefore, the black line will align again after

$10 \: sec$

Hence, the black line will align after

$10 \: sec$

#SPJ2