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A crank of radius 15 cm is rotating at 50 rpm with an angular acceleration of 60 rad/sec2. The tangential acceleration of the crank is about
  • a)
    9 m/s2
  • b)
    8 m/s2
  • c)
    9.5 m/s2
  • d)
    10.5 m/s2
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
A crank of radius 15 cm is rotating at 50 rpm with an angular accelera...
at = αr = 60 x 0.15 - 9 m/s
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Most Upvoted Answer
A crank of radius 15 cm is rotating at 50 rpm with an angular accelera...
To find the tangential acceleration of the crank, we can use the formula:

Tangential acceleration (at) = Radius (r) x Angular acceleration (α)

Given:
Radius (r) = 15 cm = 0.15 m
Angular acceleration (α) = 60 rad/sec²

Calculating the tangential acceleration:

at = r * α
at = 0.15 m * 60 rad/sec²
at = 9 m/s²

Therefore, the tangential acceleration of the crank is 9 m/s².
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