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P a Particle is Kept Fixed on a Turntable Rotating Uniformly. as Seen from the Ground the Particle Goes in a Circle, Its Speed is 20 Cm/S and Acceleration is 20 Cm/S2. - Physics

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Question

A particle is kept fixed on a turntable rotating uniformly. As seen from the ground the particle goes in a circle, its speed is 20 cm/s and acceleration is 20 cm/s2. The particle is now shifted to a new position to make the radius half of the original value. The new value of the speed and acceleration will be 

  • 10 cm/s, 10 cm/s

  • 10 cm/s, 80 cm/s2

  • 40 cm/s, 10 cm/s2

  • 40 cm/s, 40 cm/s2

Solution

(a) 10 cm/s, 10 cm/s2
It is given that the turntable is rotating with uniform angular velocity. Let the velocity be  \[\omega\] .

We have:

\[\text{v = r}\omega\]

\[ \Rightarrow \text{v} \propto \text{r} (\text{P for constant }\omega)\]

\[\frac{v}{v'} = \frac{r}{r'}\]

\[ \Rightarrow \text{v}' = \frac{\text{v}}{2} = 10 \text{ cm/s}\]

Similarly, we have: \[a' = \frac{a}{2} = 10\text{ cm/ s}^2\]

 
  Is there an error in this question or solution?
Solution P a Particle is Kept Fixed on a Turntable Rotating Uniformly. as Seen from the Ground the Particle Goes in a Circle, Its Speed is 20 Cm/S and Acceleration is 20 Cm/S2. Concept: Circular Motion.
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