Can you detect motion inside a spinning box?

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Inside a spinning box, it is possible to detect motion due to the effects of rotation, which differ from linear motion. Unlike moving in a straight line, spinning involves multiple vectors that can create detectable forces. These forces, resulting from rotation, can be experienced as sensations within the box. The discussion emphasizes that rotation is not considered inertial motion, making it easier to identify. Understanding these dynamics clarifies how motion can be perceived in a rotating environment.
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If you are inside a box that is spinning, can u detect its motion?

At first i was thinking you can't the same way as if the box is moving forward.

However, I was thinking that moving in a straight line involves one vector while spinning creates different ones so that you CAN detect your motion.

Can someone help me understand this? Thanks in advance for your time!
 
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Rotation is not inertial motion. You can easily detect your rotation.

Or at least, you will experience forces that could be explained by rotation. There might be other explanations.
 
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
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