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3 years ago

Which expression can be used to calculate centripetal acceleration?

1 answer:

meriva3 years ago

8 0

We can use multiple expressions to calculate centripetal acceleration, depending on the physical problem:

Centripetal acceleration with tangental velocity:

a=v²/r, where v is tangental velocity and r is the radius of the circular trajectory.

Centripetal acceleration with angular velocity:

a=ω²r, where ω is the angular velocity and r is the radius if the circular trajectory.

We can calcualte it from the centripetal force Fcp:

Fcp=m*a, so a=Fcp/m, where m is mass and a is the centripetal acceleration.

And also from the equation:

a=√(a₁²+a₂²), where a is total acceleration, a₁ is centripetal acceleration and a₂ is the tangental acceleration, so to get a₁, or centripetal acceleration:

a₁=√(a²-a₂²)

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anygoal [31]

F=G=50 N

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3 years ago

A 70.0 kg astronaut is training for accelerations that he will experience upon reentry. He is placed in a centrifuge (r = 15.0 m

Levart [38]

Answer:

1.3823 rad/s

20.7345 m/s

28.66129935 m/s²

$a=2.92164g$

2006.29095 N radially outward

Explanation:

r = Radius = 15 m

m = Mass of person = 70 kg

g = Acceleration due to gravity = 9.81 m/s²

Angular velocity is given by

$\omega=13.2\times \dfrac{2\pi}{60}\\\Rightarrow \omega=1.3823\ rad/s$

Angular velocity is 1.3823 rad/s

Linear velocity is given by

$v=r\omega\\\Rightarrow v=15\times 1.3823\\\Rightarrow v=20.7345\ m/s$

The linear velocity is 20.7345 m/s

Centripetal acceleration is given by

$a_c=r\omega^2\\\Rightarrow a_c=15\times 1.3823^2\\\Rightarrow a_c=28.66129935\ m/s^2$

The centripetal acceleration is 28.66129935 m/s²

Acceleration in terms of g

$\dfrac{a}{g}=\dfrac{28.66129935}{9.81}\\\Rightarrow a=2.92164g$

$a=2.92164g$

Centripetal force is given by

$F_c=ma_c\\\Rightarrow F_c=70\times 28.66129935\\\Rightarrow F_c=2006.29095\ N$

The centripetal force is 2006.29095 N radially outward

The torque will be experienced when the centrifuge is speeding up of slowing down i.e., when it is accelerating and decelerating.

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3 years ago

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olga_2 [115]

The correct option to the question is Matter.

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Moreover, Matter can be described as,

Matter is anything that has occupies space (has mass and volume).

For more information visit:

brainly.com/question/13280491

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Natalija [7]

Answer:

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Explanation:

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