A point moves along a circle with speed,p=dm,{d=0.5 m/s^2}...p,d,m are just variables!! Find the total speed and acceleration of point at moment when it covers (1/10)th of the circle after beginning of motion..!!!(Non-Uniform Motion)
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If it is a uniform circular motion then d. We assume p is a speed and m is time
okay
Then???
The answer is d since the acceleration is constant. Maybe you are thinking about the total speed?
O_O....Oopsy!!
Yes speed
Then, we can use this equation: \[\theta _{f}=\theta _{i}+\omega _{i} t+\frac{ 1 }{ 2 } \alpha t ^{2}\]Where theta is the angle, omega is the angular velocity and alpha is the angular acceleration. Since initial angle and the initial angular velocity are zero, when we clear t we get:\[\sqrt{\frac{ 2 \theta _{f} }{ \alpha }}=t\] Now, alpha is related to d (the linear acceleration) by:\[\alpha=\frac{ d }{ r }\]That means that you need the radius of the circle. Do you have it?
r??
t,then will equal \[2\sqrt{{\pi*r}/5}\]
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so v wil be \[\sqrt{{(pi*r)}/5}\]
No, \[m=\sqrt{\frac{ 2 \times \frac{ 2 \pi }{ 10 }}{ \frac{ d }{ r } }}=\sqrt{\frac{ 2 \pi r}{ 5d }}\]Then you substitute that back into the equation for p and you get:\[p=d \sqrt{\frac{ 2 \pi r }{ 5d }}=\sqrt{\frac{ 2 d \pi r }{ 5 }}\]
It shud be 4*2x/10
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