A camera lens rotates 15° and then stops to take a picture.They it rotates 5 take another picture. The camera takes two pictures in each rotation cycle. How many cycles does the camera lens go through to reach 100 Justify your answer.
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If a "camera takes two pictures in each rotation cycle," it will take 50 cycles to take 100 pictures.
To solve this problem, we need to determine how many cycles the camera lens goes through in order to reach 100 rotations.
Let's break down the given information:
- The camera lens rotates 15° and then stops to take a picture.
- It then rotates 5° and takes another picture.
- Two pictures are taken in each rotation cycle.
Since two pictures are taken in each cycle, we can conclude that one cycle involves one complete rotation followed by another 5° rotation.
To find out how many cycles it takes for the lens to reach 100 rotations, we can divide 100 by the total rotation in each cycle.
The total rotation in each cycle is 360° (one full rotation) + 5° = 365°.
Hence, the number of cycles required can be calculated as follows:
Number of cycles = 100 rotations / 365° per cycle.
Using this equation, we can calculate the answer as follows:
Number of cycles = 100 / 365 ≈ 0.273
Since the number of cycles must be a whole number, we need to round up to the nearest whole number. Therefore, the camera lens goes through 1 cycle in order to reach 100 rotations.
Justification:
The camera lens goes through one complete rotation and then another partial rotation before taking two pictures. This entire process is repeated multiple times to reach the desired number of rotations. In this case, since one complete rotation plus a partial rotation is done in one cycle, only one complete cycle is needed to reach 100 rotations.