Answered

Explore Westonci.ca, the leading Q&A site where experts provide accurate and helpful answers to all your questions. Get quick and reliable solutions to your questions from a community of seasoned experts on our user-friendly platform. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.

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

Sagot :

[tex]\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=\frac{w_sr}{r_l} \\ \text{but} \\ v_{Ts}=w_sr \\ \text{Solving }w_s \\ w_s=\frac{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\frac{r}{r} \\ \text{The angular velocity of larger gear is }0.65\text{ rad/s}\cdot\frac{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}[/tex]

View image FerminaU590213
View image FerminaU590213
View image FerminaU590213
Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Discover more at Westonci.ca. Return for the latest expert answers and updates on various topics.