Question 1

9. Two gears are pressed together. The smaller gear is being poweredby a motor and has a constant tangential velocity of 0.2 m/s at itsedge. The radius of the smaller gear is r and the radius of the largergear is 31a. What is the angular velocity of the larger gear, in terms of r?Coin 2-0.06 roadsV = wrsrb. The smaller gear's angular velocity is doubled. How does thataffect the angular velocity of the large gear? Show your work and explain your answer

Question 2

$\begin{gathered} For\text{ smaller gear} \\ r=\text{ radius} \\ v_(Ts)=0.2\text{ m/s} \\ \text{For larger gear} \\ r_l=31\operatorname{cm}=0.31m \\ v_(Ts)=v_(Tl) \\ v_T=wr \\ \text{hence} \\ w_sr=w_lr_l \\ \text{Solving }w_l \\ w_l=(w_sr)/(r_l) \\ \text{but} \\ v_(Ts)=w_sr \\ \text{Solving }w_s \\ w_s=(v_(Ts))/(r)=\frac{0.2\text{ m/s}}{r} \\ \text{Now} \\ w_l=\frac{0.2\text{ m/s}}{r}\cdot\frac{_{}r}{0.31m_{}} \\ w_l=0.65\text{ rad/s}\cdot(r)/(r) \\ \text{The angular velocity of larger gear is }0.65\text{ rad/s}\cdot(r)/(r) \\ \\ \text{Question b} \\ 2w_s \\ 2w_sr=w_lr_l \\ \text{Solving w}_l \\ w_l=\frac{2w_sr}{_{}r_l} \\ \text{If the angular velocity of the smaller gear is doubled the angular velocity} \\ of\text{ larger gear is doubled too} \end{gathered}$

9. Two gears are pressed together. The smaller gear is being poweredby a motor and-example-1

9. Two gears are pressed together. The smaller gear is being poweredby a motor and-example-2

9. Two gears are pressed together. The smaller gear is being poweredby a motor and-example-3

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