Secure I httpsu C Chapter B Hw tem 8 9273557sete 8 of 26> Part A Constanb A smai

Question

Secure I httpsu C Chapter B Hw tem 8 9273557sete 8 of 26> Part A Constanb A smail rubber wheel s used to drve a large potery wheel The two wheels ane mounlod so that Express your answer using two significant figures edges touch. The radius of 1 9 em and accelerales at the aet 7 rad/s*.and aisi, contact wit' te ptnery "h badus 240 cm ) wthoul sleping 5.7 Incorrect Try Againg 5 adempts remaining PanB Calculate the t ithe poy whel to each is reqused speed of 61 rp Express your answer to two significant figures and include the approperiate units Submit

Explanation / Answer

Given

Radius of the small wheel , r = 1.9 cm = 0.019 m

Acceleration of the small wheel , = 7.2 rad /s2

Radius of the pottery wheel , R = 24 cm

a) First , we find the tangential acceleration,

   at = r

       = (0.019 m ) ( 7.2 rad /s2) = 0.1368 rad /s2

Since, the two wheels are moving without slipping the

angular acceleration of the pottery wheel is

   ' = at /R = (0.1368 rad /s2) / 0.24 m

      = 0.57 rad /s2

b) From the equation = o + ' t

= 61 rpm = 6.388 rad/s

                                 6.388 rad/s = 0 + (0.57 rad /s2) t

                                             t    = 11.2 s

Thus, the time it takes the pottery wheel to reach its required speed of 61 pm is 11.2 s

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