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The speed of a shaft increases uniformly from 300rev per minute to 800 rev per minute in 10 seconds. Find the angular acceleration and convert to three significant figures?
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The speed of a shaft increases uniformly from 300rev per minute to 800...
Given data:
Initial speed of shaft (ω1) = 300 rev/min
Final speed of shaft (ω2) = 800 rev/min
Time taken (t) = 10 seconds
Angular acceleration (α):
The angular acceleration of the shaft can be calculated using the formula:
α = (ω2 - ω1) / t
Substitute the values:
α = (800 - 300) / 10
α = 500 / 10
α = 50 rev/min²
Conversion to three significant figures:
To convert the angular acceleration to three significant figures, we need to convert rev/min² to a more standard unit such as rad/s².
1 rev = 2π rad
1 min = 60 seconds
Therefore, 1 rev/min² = (2π/60) rad/s²
α = 50 * (2π/60)
α ≈ 5.24 rad/s²
Thus, the angular acceleration of the shaft is approximately 5.24 rad/s².
Initial speed of shaft (ω1) = 300 rev/min
Final speed of shaft (ω2) = 800 rev/min
Time taken (t) = 10 seconds
Angular acceleration (α):
The angular acceleration of the shaft can be calculated using the formula:
α = (ω2 - ω1) / t
Substitute the values:
α = (800 - 300) / 10
α = 500 / 10
α = 50 rev/min²
Conversion to three significant figures:
To convert the angular acceleration to three significant figures, we need to convert rev/min² to a more standard unit such as rad/s².
1 rev = 2π rad
1 min = 60 seconds
Therefore, 1 rev/min² = (2π/60) rad/s²
α = 50 * (2π/60)
α ≈ 5.24 rad/s²
Thus, the angular acceleration of the shaft is approximately 5.24 rad/s².
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The speed of a shaft increases uniformly from 300rev per minute to 800 rev per minute in 10 seconds. Find the angular acceleration and convert to three significant figures?
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The speed of a shaft increases uniformly from 300rev per minute to 800 rev per minute in 10 seconds. Find the angular acceleration and convert to three significant figures? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about The speed of a shaft increases uniformly from 300rev per minute to 800 rev per minute in 10 seconds. Find the angular acceleration and convert to three significant figures? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The speed of a shaft increases uniformly from 300rev per minute to 800 rev per minute in 10 seconds. Find the angular acceleration and convert to three significant figures?.
The speed of a shaft increases uniformly from 300rev per minute to 800 rev per minute in 10 seconds. Find the angular acceleration and convert to three significant figures? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about The speed of a shaft increases uniformly from 300rev per minute to 800 rev per minute in 10 seconds. Find the angular acceleration and convert to three significant figures? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The speed of a shaft increases uniformly from 300rev per minute to 800 rev per minute in 10 seconds. Find the angular acceleration and convert to three significant figures?.
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