Question

Content Kaden+R.+Resum roman 8:18 the pai Aniwatch Free An nova.edu/ultra/courses/_185131_1/cl/outline Remaining Time: 21 minutes, 48 seconds. Question Completion Status: For the following compound gear assemblies (1: driver, 8: driven) a. Given the speed of the driver ($$\omega_1 = 140$$ RPM), determine the speed of the driven gear. RPM b. Given the torque at the driver (Torque$$_1 = 40$$ N m), determine the torque at the driven gear. N m $$N_1$$ $$N_2$$ $$N_3$$ $$N_4$$ $$N_5$$ $$N_6$$ $$N_7$$ $$N_8$$ $$T_1 = 8$$ teeth $$T_2 = 24$$ teeth $$T_3 = 6$$ Teeth $$T_4 = 54$$ teeth $$T_5 = 12$$ teeth $$T_6 = 60$$ teeth $$T_7 = 5$$ teeth $$T_8 = 25$$ teeth $$\omega_1 = 140$$ RPM Torque$$_1 = 40$$ N m Click Save and Submit to save and submit. Click Save All Answers to save all answers.

          Content
Kaden+R.+Resum
roman 8:18 the pai
Aniwatch Free An
nova.edu/ultra/courses/_185131_1/cl/outline
Remaining Time: 21 minutes, 48 seconds.
Question Completion Status:
For the following compound gear assemblies (1: driver, 8: driven)
a. Given the speed of the driver ($$\omega_1 = 140$$ RPM), determine the speed of the driven gear.
RPM
b. Given the torque at the driver (Torque$$_1 = 40$$ N m), determine the torque at the driven gear.
N m
$$N_1$$
$$N_2$$
$$N_3$$
$$N_4$$
$$N_5$$
$$N_6$$
$$N_7$$
$$N_8$$
$$T_1 = 8$$ teeth $$T_2 = 24$$ teeth $$T_3 = 6$$ Teeth $$T_4 = 54$$ teeth
$$T_5 = 12$$ teeth $$T_6 = 60$$ teeth $$T_7 = 5$$ teeth $$T_8 = 25$$ teeth
$$\omega_1 = 140$$ RPM Torque$$_1 = 40$$ N m
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content kadenrresum roman 818 the pai aniwatch free an novaeduultracourses1851311cloutline remaining time 21 minutes 48 seconds question completion status for the following compound gear a 99484

Added by Tracey B.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Sri K

07/29/2023

Step 1

Driver gear: Gear 1 Driven gear: Gear 8 Number of teeth: $$T_1 = 8$$ teeth $$T_2 = 24$$ teeth $$T_3 = 6$$ teeth $$T_4 = 54$$ teeth $$T_5 = 12$$ teeth $$T_6 = 60$$ teeth $$T_7 = 5$$ teeth $$T_8 = 25$$ teeth Input speed: $$\omega_1 = 140$$ RPM Input torque: Show more…

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Content Kaden+R.+Resum roman 8:18 the pai Aniwatch Free An nova.edu/ultra/courses/_185131_1/cl/outline Remaining Time: 21 minutes, 48 seconds. Question Completion Status: For the following compound gear assemblies (1: driver, 8: driven) a. Given the speed of the driver ($$\omega_1 = 140$$ RPM), determine the speed of the driven gear. RPM b. Given the torque at the driver (Torque$$_1 = 40$$ N m), determine the torque at the driven gear. N m $$N_1$$ $$N_2$$ $$N_3$$ $$N_4$$ $$N_5$$ $$N_6$$ $$N_7$$ $$N_8$$ $$T_1 = 8$$ teeth $$T_2 = 24$$ teeth $$T_3 = 6$$ Teeth $$T_4 = 54$$ teeth $$T_5 = 12$$ teeth $$T_6 = 60$$ teeth $$T_7 = 5$$ teeth $$T_8 = 25$$ teeth $$\omega_1 = 140$$ RPM Torque$$_1 = 40$$ N m Click Save and Submit to save and submit. Click Save All Answers to save all answers.

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00:02 A is the rotational velocities of shaft b gear 3 and gear 4 in revolution per minute rpm can be calculated as follows.

00:12 So, first the rotational velocity of shaft b can be calculated n1 divided by n2 is equals to d2 divided by d1.

00:23 So, here n1 is in rotational velocity of shaft a in revolution in rpm.

00:30 So, when i am saying rpm it is revolution per minute and n2 is the rotational velocity of shaft b in rpm.

00:39 Here d1 is the diameter of gear 4 in mm and d2 is the diameter of gear 3 in mm.

00:45 We have given these values but we do not know the value of n2 here.

00:49 So, i am writing down other value.

00:51 The value of n1 given 18, n2 we do not have given in the position, d2 is given 30 and d1 is 16 minus.

01:00 So, from here when we will solve for n2 it will be 648 minus 36d.

01:10 Now this is the rotational velocity of shaft b in rpm.

01:17 Now the rotational velocity of gear 3 this is for shaft b.

01:24 I am writing down in bracket this is for shaft.

01:29 Now for the gear 3.

01:31 So, this is n3 divided by n4 is equals to d4 divided by d3.

01:37 N3 is the rotational velocity of gear 3 and n4 is the rotational velocity of gear 4.

01:45 D3 is the diameter of gear 3 and d4 is the diameter of gear 4.

01:51 When we will substitute the value.

01:52 So, n3 we do not know.

01:54 N4 is 18 multiply with 20 and the y divided by 60.

02:02 So, i am writing down 60 here and is equals to d4 is 30 and d3 is 16 minus d.

02:14 Now when we will solve for n3 we will get 5400 and divide by 16 minus d.

02:26 So, this is the rotational velocity of gear 3 in rpm.

02:32 Now the rotational velocity of gear 4.

02:35 So, i am solving it here.

02:37 So, this is n divided by n4 is equals to d4 divided by d...

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