Circular Motion - Polar Coordinates

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The motion of a particle on the surface of a right circular cone is defined by the relations R = ht tan$\beta$, $\theta$=2$\pi$t, and z = ht, where $\beta$ is the apex angle of the cone and h is the distance the particle rises in one passage around the cone. Determine the magnitudes of the velocity and acceleration at any time t.

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$R=ht\tan\beta$$\dot{R}=h\tan\beta$$\ddot{R}=0$ , $\theta=2\pi t$$\dot{\theta}=2\pi$$\ddot{\theta}=0$ , $Z=ht$$\dot{Z}=h$$\ddot{Z}=0$

$v_R=h\tan\beta$ , $v_{\theta}=2\pi ht\tan\beta$ , $v_Z=h$$a_R=-4\pi^2ht\tan\beta$ , $a_{\theta}=4\pi h \tan\beta$ , $a_Z=0$