- #1

user079622

- 329

- 22

- Homework Statement
- I must find centripetal acceleration and tangential velocity, I post this to check my results.

- Relevant Equations
- vt = ω r

ac = ω2 r

Right picture is two turn tables on of top of the other, smaller turn table is connected with shaft to bigger one so it rotate around itself and in same time "revolve" around center of bigger one which is also rotate about itself. They both rotate clockwise.

I observe case from inertial frame of reference, earth. I must find centripetal acceleration and tangential velocity in point B.

r1=1m ω1=1000RPM

r2=10 ω2=500RPM

Tangential velocity in point B = tangen. velocity in point P1(right picture) + tangen. velocity in point A

A= 104.72 m/s

P1=523.6 m/s

They are two parallel velocity vectors pointing in same direction so I add them to get tangential velocity in point

Centripetal acceleration in point B = cent. accleration in point P1(right picture) + cent. acceleration in point A

P1= 27416 m/s2

A= 10966 m/s2

They are two vectors that point in same direction,(toward left at my graph), I add them to get centripetal acceleration in point

Is my logic and results correct?

Point A show case where smaller turn table rotate just around itself, revolution is zero)

I observe case from inertial frame of reference, earth. I must find centripetal acceleration and tangential velocity in point B.

r1=1m ω1=1000RPM

r2=10 ω2=500RPM

Tangential velocity in point B = tangen. velocity in point P1(right picture) + tangen. velocity in point A

*vt = ω r*A= 104.72 m/s

P1=523.6 m/s

They are two parallel velocity vectors pointing in same direction so I add them to get tangential velocity in point

**B=628.32 m/s**Centripetal acceleration in point B = cent. accleration in point P1(right picture) + cent. acceleration in point A

**ac =***ω2 r*P1= 27416 m/s2

A= 10966 m/s2

They are two vectors that point in same direction,(toward left at my graph), I add them to get centripetal acceleration in point

**B= 38382 m/s2**Is my logic and results correct?

Point A show case where smaller turn table rotate just around itself, revolution is zero)

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