Question

Show that when the radius of a circle is double , the angular remains the same and the linear velocity of a point on the circle is doubles.

Answer 1

Compare circumference:

C1 = 2pi R1

C2 = 2pi R2

Answer 2

R2 = 2 R1 :)

Answer 3

\[\omega\times r= v\]\[\omega \times 2r =v'\]\[2v=v'\]

Answer 4

\[2\pi r \frac{\theta}{2\pi}=\text{linear lenght}\]
\[ r \theta=\text{linear lenght}\]

Answer 5

take derivative of both side
\[\frac{d\theta}{dt} r=\frac{dl}{dt}\]
\[\omega r=v\]

Answer 6

radius double , than linear velocity is double ?

Answer 7

if two object A, B have same angular velocity , and A has twice the radius of B, then linear velocity is double for A

Answer 8

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