Question
Investigate the way that speed bicycles work. In particular, explain the differences and similarities between 5-speed and9-speed derailleurs. Be sure to include a discussion of linear speed and angular speed.
Step 1
The speed of a bicycle is determined by the gear ratio, which is the ratio of the number of teeth on the front chainring to the number of teeth on the rear cog. The gear ratio determines the bicycle's mechanical advantage, or how much force the rider needs to Show more…
Show all steps
Your feedback will help us improve your experience
Katelyn Chen and 99 other Algebra educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Explain the differences between linear speed and angular speed when describing motion along a circular path.
Trigonometric Functions
Angles
Bicycle gears: $(a)$ How is the angular velocity $\omega_{\mathrm{R}}$ of the rear wheel of a bicycle related to the angular velocity $\omega_{\mathrm{F}}$ of the front sprocket and pedals? Let $N_{\mathrm{F}}$ and $N_{\mathrm{R}}$ be the number of teeth on the front and rear sprockets, respectively, Fig. $10-64$ The teeth are spaced the same on both sprockets and the rear sprocket is firmly attached to the rear wheel. $(b)$ Evaluate the ratio $\omega_{\mathrm{R}} / \omega_{\mathrm{F}}$ when the front and rear sprockets (1) have 52 and 13 teeth, respectively, and (c) when they have 42 Rear sprocket $\quad$ and 28 teeth.
$\textbf{Bicycle gears:}$ $(a)$ How is the angular velocity $\omega_R$ of the rear wheel of a bicycle related to the angular velocity $\omega_F$ of the front sprocket and pedals? Let $N_F$ and $N_R$ be the number of teeth on the front and rear sprockets, respectively, Fig. 8-58. The teeth are spaced the same on both sprockets and the rear sprocket is firmly attached to the rear wheel. $(b)$ Evaluate the ratio $\omega_R/\omega_F$ when the front and rear sprockets have 52 and 13 teeth, respectively, and $(c)$ when they have 42 and 28 teeth. FIGURE 8-58(Figure Cant copy)
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD