Find a repeater machine that will do the same work as a (× 1/8) machine.
Solution:
We have to find a repeater machine that will do the same work as a (× 1/8) machine.
A repeater machine is a hypothetical machine which automatically enlarges items several times.
From the given figure,
We know that, when two machines are hooked up their stretching power is multiplied.
Total work of the single machine = ×1/8
We know, 8 = 2³
So, 1/8 = 1/2³
= 1/2 × 1/2 × 1/2
= (1/2)³
Now, machine with base 1/2, power 3 can produce the same work.
Therefore, the required repeater machines is (×(1/2)³).
✦ Try This: Find a repeater machine that will do the same work as a (× 1/9) machine.
☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 12
NCERT Exemplar Class 8 Maths Chapter 8 Problem 166
Find a repeater machine that will do the same work as a (× 1/8) machine.
Summary:
A repeater machine that will do the same work as a (× 1/8) machine is (×(1/2)³).
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