A flywheel with a radius of 0.600m starts from rest and accelerates with a const

Question

A flywheel with a radius of 0.600m starts from rest and accelerates with a constant angular acceleration of 0.500rad/s2 .

Part A

Compute the magnitude of the tangential acceleration of a point on its rim at the start.

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Part B

Compute the magnitude of the radial acceleration of a point on its rim at the start.

0

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Correct

Part C

Compute the magnitude of the resultant acceleration of a point on its rim at the start.

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Part D

Compute the magnitude of the tangential acceleration of a point on its rim after it has turned through 60.0 ?.

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Part E

Compute the magnitude of the radial acceleration of a point on its rim after it has turned through 60.0 ?.

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A flywheel with a radius of 0.600m starts from rest and accelerates with a constant angular acceleration of 0.500rad/s2 .

Part A

Compute the magnitude of the tangential acceleration of a point on its rim at the start.

atan =   m/s2  

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Incorrect; Try Again; 4 attempts remaining

Part B

Compute the magnitude of the radial acceleration of a point on its rim at the start.

arad =

0

  m/s2  

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Correct

Part C

Compute the magnitude of the resultant acceleration of a point on its rim at the start.

a =   m/s2  

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Part D

Compute the magnitude of the tangential acceleration of a point on its rim after it has turned through 60.0 ?.

atan =   m/s2  

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Part E

Compute the magnitude of the radial acceleration of a point on its rim after it has turned through 60.0 ?.

arad =   m/s2  

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Explanation / Answer

A.

atan = (alpha) R

as alpha = 0.500 rad/s^2, R = 0.600 m, then

atan = 0.300 m/s^2   [ANSWER]

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B.

As

arad = w^2 R

Then

arad = 0.150 m/s^2   [ANSWER]

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C.

As atan and arad are perpendicular, using the Pythagorean theorem,

a = 0.3354 m/s^2   [ANSWER]

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