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10 cm 16 cm D С A B Bir makara ve iki sandık, esnemeyen bir halat ile şekildeki gibi bağlanmıştır. A sandığı her ikisi de yukarı doğru yönelmiş olan 400 mm/s2 lik sabit bir ivmeye ve 300 mm/s lik ilk hıza sahiptir. 3.5 saniye sonunda makara kaç devir yapmış olur?

User Urkman
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Final answer:

The question is about calculating the revolutions a pulley makes based on the acceleration of a box over a set period of time. The solution requires using equations of motion to find the distance covered and then dividing it by the pulley's circumference.

Step-by-step explanation:

The student has asked a physics-related question about calculating the number of revolutions a pulley would make after a box, attached with a non-stretching rope, has been accelerating upward for 3.5 seconds. To solve this problem, the initial velocity (u), acceleration (a), and time (t) are given, and the final velocity (v) and distance covered (s) need to be calculated first using the equations of motion:

  • v = u + at (to find the final velocity)
  • s = ut + (1/2)at² (to find the distance covered)

Once the distance (s) is known, the number of revolutions (n) can be determined by dividing the distance by the circumference of the pulley:

n = s / circumference

The circumference of the pulley can be found using the formula C = πd, where π is Pi (approximately 3.1416) and d is the diameter of the pulley, which we assume is given in centimetres based on the context of the question. Without the diameter of the pulley, this physics problem cannot be solved.

User Michael Albers
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