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The speed of a shaft increases uniformly from 300rpm to 800rpm in 10s. Find the angular acceleration and convert to three significant figures?
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The speed of a shaft increases uniformly from 300rpm to 800rpm in 10s....
Given Data:
- Initial speed, ω1 = 300 rpm
- Final speed, ω2 = 800 rpm
- Time, t = 10 s
Formula:
Angular acceleration (α) = (ω2 - ω1) / t
Calculation:
Substitute the given values into the formula:
α = (800 - 300) / 10
α = 500 / 10
α = 50 rad/s²
Angular Acceleration:
Therefore, the angular acceleration of the shaft is 50 rad/s².
Explanation:
The angular acceleration is the rate of change of angular velocity with respect to time. It is measured in radians per second squared (rad/s²). In this case, the shaft's speed increases uniformly from 300 rpm to 800 rpm in 10 seconds, resulting in an angular acceleration of 50 rad/s². This means that every second, the shaft's speed increases by 50 radians per second.
- Initial speed, ω1 = 300 rpm
- Final speed, ω2 = 800 rpm
- Time, t = 10 s
Formula:
Angular acceleration (α) = (ω2 - ω1) / t
Calculation:
Substitute the given values into the formula:
α = (800 - 300) / 10
α = 500 / 10
α = 50 rad/s²
Angular Acceleration:
Therefore, the angular acceleration of the shaft is 50 rad/s².
Explanation:
The angular acceleration is the rate of change of angular velocity with respect to time. It is measured in radians per second squared (rad/s²). In this case, the shaft's speed increases uniformly from 300 rpm to 800 rpm in 10 seconds, resulting in an angular acceleration of 50 rad/s². This means that every second, the shaft's speed increases by 50 radians per second.
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The speed of a shaft increases uniformly from 300rpm to 800rpm in 10s. Find the angular acceleration and convert to three significant figures?
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The speed of a shaft increases uniformly from 300rpm to 800rpm in 10s. 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 300rpm to 800rpm in 10s. 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 300rpm to 800rpm in 10s. Find the angular acceleration and convert to three significant figures?.
The speed of a shaft increases uniformly from 300rpm to 800rpm in 10s. 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 300rpm to 800rpm in 10s. 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 300rpm to 800rpm in 10s. Find the angular acceleration and convert to three significant figures?.
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