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A physical quantity X is related to four observable's 
a,b,c & d as follows
. The
percentage error of measurement in a,b,c and d are 1%,3%,4% & 2%
respectively
, the percentage error in the quantity X is
- a)13%
- b)14%
- c)17%
- d)24%
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
A physical quantity X is related to four observable'sa,b,c & d as ...
Angular velocity is defined as the rate of change of angular displacement with respect to time. It is usually expressed by a Greek letter ω (omega).
Mathematically, angular velocity,
ω =dθ/dt
If a body is rotating at the rate of N r.p.m. (revolutions per minute), then its angular velocity,
ω = 2πΝ / 60 rad/s
Mathematically, angular velocity,
ω =dθ/dt
If a body is rotating at the rate of N r.p.m. (revolutions per minute), then its angular velocity,
ω = 2πΝ / 60 rad/s
Most Upvoted Answer
A physical quantity X is related to four observable'sa,b,c & d as ...
I think that option is wrong it should be 14%. Consult this with other and if you want the solution for 14% then just message me
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A physical quantity X is related to four observable'sa,b,c & d as ...
Understanding Angular Velocity
Angular velocity is a measure of how quickly an object rotates around a central point. It is typically expressed in radians per second (rad/s).
Converting R.P.M to Radians per Second
R.P.M (revolutions per minute) indicates how many complete revolutions an object makes in one minute. To convert R.P.M to angular velocity in rad/s, we can use the following relationship:
- 1 revolution = 2π radians
- 1 minute = 60 seconds
Calculation Steps
To find the angular velocity (ω) in rad/s when the body rotates at N R.P.M:
1. Convert R.P.M to Revolutions per Second:
- N R.P.M = N/60 revolutions per second.
2. Convert Revolutions to Radians:
- Each revolution = 2π radians.
3. Combine the Conversions:
- ω = (N/60) revolutions/second × (2π radians/revolution).
- Thus, ω = (2πN/60) rad/s.
Final Result
So, the angular velocity (ω) of a body rotating at N R.P.M is:
- ω = 2πN/60 rad/s.
This confirms that the correct answer is option b) 2πN/60.
This conversion is crucial in physics and engineering, enabling a seamless transition between different units of measurement. Understanding these conversions ensures accurate calculations in rotational dynamics.
Angular velocity is a measure of how quickly an object rotates around a central point. It is typically expressed in radians per second (rad/s).
Converting R.P.M to Radians per Second
R.P.M (revolutions per minute) indicates how many complete revolutions an object makes in one minute. To convert R.P.M to angular velocity in rad/s, we can use the following relationship:
- 1 revolution = 2π radians
- 1 minute = 60 seconds
Calculation Steps
To find the angular velocity (ω) in rad/s when the body rotates at N R.P.M:
1. Convert R.P.M to Revolutions per Second:
- N R.P.M = N/60 revolutions per second.
2. Convert Revolutions to Radians:
- Each revolution = 2π radians.
3. Combine the Conversions:
- ω = (N/60) revolutions/second × (2π radians/revolution).
- Thus, ω = (2πN/60) rad/s.
Final Result
So, the angular velocity (ω) of a body rotating at N R.P.M is:
- ω = 2πN/60 rad/s.
This confirms that the correct answer is option b) 2πN/60.
This conversion is crucial in physics and engineering, enabling a seamless transition between different units of measurement. Understanding these conversions ensures accurate calculations in rotational dynamics.
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A physical quantity X is related to four observable'sa,b,c & d as follows. Thepercentage error of measurement in a,b,c and dare 1%,3%,4% & 2%respectively, the percentageerror in the quantity X is a)13%b)14%c)17%d)24%Correct answer is option 'A'. Can you explain this answer?
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A physical quantity X is related to four observable'sa,b,c & d as follows. Thepercentage error of measurement in a,b,c and dare 1%,3%,4% & 2%respectively, the percentageerror in the quantity X is a)13%b)14%c)17%d)24%Correct answer is option 'A'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A physical quantity X is related to four observable'sa,b,c & d as follows. Thepercentage error of measurement in a,b,c and dare 1%,3%,4% & 2%respectively, the percentageerror in the quantity X is a)13%b)14%c)17%d)24%Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A physical quantity X is related to four observable'sa,b,c & d as follows. Thepercentage error of measurement in a,b,c and dare 1%,3%,4% & 2%respectively, the percentageerror in the quantity X is a)13%b)14%c)17%d)24%Correct answer is option 'A'. Can you explain this answer?.
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