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A body moves in a circular path of radius r=500 m with tangential acceleration a = 2 m/ s square . When it's tangential linear velocity is 30 m/s , the total acceleration will be (A) 5.4 m/ s square (B) 3.9 m/s square (C) 2.7 m/s square (D) 2.1 m /s square?
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A body moves in a circular path of radius r=500 m with tangential acce...
Solution:
Given, radius of circular path, r = 500 m and tangential acceleration, a = 2 m/s^2.
The tangential acceleration can be given as:
a = (dv/dt)
Given, tangential velocity, v = 30 m/s.
Therefore,
a = (dv/dt) = (d/dt)(30 m/s)
a = 0 m/s^2 (as velocity is constant)
Using the formula for total acceleration,
a(total) = √((a^2) + ((v^2)/r^2))
Substituting the given values,
a(total) = √(((2 m/s^2)^2) + ((30 m/s)^2)/(500 m)^2))
a(total) = √(4 + 0.36)
a(total) = √4.36
a(total) = 2.090 m/s^2
Therefore, option (D) 2.1 m/s^2 is the correct answer.
Given, radius of circular path, r = 500 m and tangential acceleration, a = 2 m/s^2.
The tangential acceleration can be given as:
a = (dv/dt)
Given, tangential velocity, v = 30 m/s.
Therefore,
a = (dv/dt) = (d/dt)(30 m/s)
a = 0 m/s^2 (as velocity is constant)
Using the formula for total acceleration,
a(total) = √((a^2) + ((v^2)/r^2))
Substituting the given values,
a(total) = √(((2 m/s^2)^2) + ((30 m/s)^2)/(500 m)^2))
a(total) = √(4 + 0.36)
a(total) = √4.36
a(total) = 2.090 m/s^2
Therefore, option (D) 2.1 m/s^2 is the correct answer.
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A body moves in a circular path of radius r=500 m with tangential acceleration a = 2 m/ s square . When it's tangential linear velocity is 30 m/s , the total acceleration will be (A) 5.4 m/ s square (B) 3.9 m/s square (C) 2.7 m/s square (D) 2.1 m /s square?
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A body moves in a circular path of radius r=500 m with tangential acceleration a = 2 m/ s square . When it's tangential linear velocity is 30 m/s , the total acceleration will be (A) 5.4 m/ s square (B) 3.9 m/s square (C) 2.7 m/s square (D) 2.1 m /s square? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A body moves in a circular path of radius r=500 m with tangential acceleration a = 2 m/ s square . When it's tangential linear velocity is 30 m/s , the total acceleration will be (A) 5.4 m/ s square (B) 3.9 m/s square (C) 2.7 m/s square (D) 2.1 m /s square? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A body moves in a circular path of radius r=500 m with tangential acceleration a = 2 m/ s square . When it's tangential linear velocity is 30 m/s , the total acceleration will be (A) 5.4 m/ s square (B) 3.9 m/s square (C) 2.7 m/s square (D) 2.1 m /s square?.
A body moves in a circular path of radius r=500 m with tangential acceleration a = 2 m/ s square . When it's tangential linear velocity is 30 m/s , the total acceleration will be (A) 5.4 m/ s square (B) 3.9 m/s square (C) 2.7 m/s square (D) 2.1 m /s square? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A body moves in a circular path of radius r=500 m with tangential acceleration a = 2 m/ s square . When it's tangential linear velocity is 30 m/s , the total acceleration will be (A) 5.4 m/ s square (B) 3.9 m/s square (C) 2.7 m/s square (D) 2.1 m /s square? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A body moves in a circular path of radius r=500 m with tangential acceleration a = 2 m/ s square . When it's tangential linear velocity is 30 m/s , the total acceleration will be (A) 5.4 m/ s square (B) 3.9 m/s square (C) 2.7 m/s square (D) 2.1 m /s square?.
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