The RPM of "D" is 800 and hobbed with 38...

Study

Question 1 of 205eccefa3bacbc34ba4d47cd5

The RPM of "D" is 800 and hobbed with 38 teeth. If gears "A", "B", and "C" have 80, 62, and 20 teeth respectively, the RPM of "A" in the gear train illustration is __________. See illustration MO-0088.

Back

Question 1 of 20

5eccefa3bacbc34ba4d47cd5

No comments yet

Be the first to share your thoughts!

If the question has a related picture, it will appear here.

🔍 Key Concepts

• Relationship between gear speed and number of teeth: (N_1 T_1 = N_2 T_2) (speed is inversely proportional to teeth) • How to treat compound gears (gears on the same shaft have the same RPM) • Effect of any idler gears in the train (they reverse direction but do not change the overall speed ratio)

💭 Think About

• From the illustration, in what order does motion pass from gear D (known RPM) through the train to reach gear A? Identify which gears actually mesh with each other. • Which gears share the same shaft (and therefore the same RPM), and which gears only touch by their teeth (and therefore follow the inverse-teeth rule)? • After you write the RPM relation for the first gear mesh starting from gear D, how can you carry that RPM step-by-step through each subsequent mesh until you reach gear A?

✅ Before You Answer

• Be sure you are using the correct tooth counts for gears A, B, C, and D exactly as stated (80, 62, 20, and 38 teeth). • Confirm from the drawing which gears are concentric/same center (same RPM) and which are only in contact (use (N_1 T_1 = N_2 T_2)). • After computing, check whether your final RPM for gear A is reasonable: does each mesh with a larger or smaller gear make the speed go up or down compared to the previous gear?

👋 Hi! I'm Genie, your AI study assistant. How can I help you with this question?

Quick actions

— No credit card needed