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A body moves with a speed of 10 m/s in the curved path of 25 m radius of curvature. If the tangential acceleration is 3 m/s2, then total acceleration for the body will be:
  • a)
    3.3 m/s2
  • b)
    4 m/s2
  • c)
    5 m/s2
  • d)
    None of these
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
A body moves with a speed of 10 m/s in the curved path of 25 m radius ...
Normal component: an = v2/r = (10)2/(25) = 4
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A body moves with a speed of 10 m/s in the curved path of 25 m radius ...
Solution:

Given data:

Velocity (v) = 10 m/s

Radius of curvature (r) = 25 m

Tangential acceleration (at) = 3 m/s2

Formula used:

Total acceleration (a) = √((Centripetal acceleration)² + (Tangential acceleration)²)

Centripetal acceleration (ac) = v²/r

Now, we will find the centripetal acceleration using the given data:

ac = v²/r

= (10)²/25

= 4 m/s²

Now, we will use the formula to calculate the total acceleration:

a = √((Centripetal acceleration)² + (Tangential acceleration)²)

= √((4)² + (3)²)

= √(16 + 9)

= √25

= 5 m/s²

Therefore, the total acceleration for the body will be 5 m/s², which is option (c).
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A body moves with a speed of 10 m/s in the curved path of 25 m radius of curvature. If the tangential acceleration is 3 m/s2, then total acceleration for the body will be:a)3.3 m/s2b)4 m/s2c)5 m/s2d)None of theseCorrect answer is option 'C'. Can you explain this answer? for Mechanical Engineering 2025 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about A body moves with a speed of 10 m/s in the curved path of 25 m radius of curvature. If the tangential acceleration is 3 m/s2, then total acceleration for the body will be:a)3.3 m/s2b)4 m/s2c)5 m/s2d)None of theseCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A body moves with a speed of 10 m/s in the curved path of 25 m radius of curvature. If the tangential acceleration is 3 m/s2, then total acceleration for the body will be:a)3.3 m/s2b)4 m/s2c)5 m/s2d)None of theseCorrect answer is option 'C'. Can you explain this answer?.
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