A,B,C,D has 45,27,78,20 teeth respectively and the gears A and B are connected in the same shaft gear C has 100rpm, Calculate the rpm of gear D
Question
A,B,C,D has 45,27,78,20 teeth respectively and the gears A and B are connected in the same shaft gear C has 100rpm, Calculate the rpm of gear D
Solution
Sure, here's how you can calculate the RPM of gear D:
Step 1: First, we need to find the RPM of gear B since it is connected to gear A. The formula to calculate RPM is (RPM of driving gear * Number of teeth on driving gear) / Number of teeth on driven gear.
So, RPM of gear B = (RPM of gear A * Number of teeth on gear A) / Number of teeth on gear B = (100 RPM * 45 teeth) / 27 teeth = 166.67 RPM
Step 2: Now, we need to find the RPM of gear D. Since gear B and C are connected, we use the same formula.
So, RPM of gear D = (RPM of gear B * Number of teeth on gear B) / Number of teeth on gear D = (166.67 RPM * 78 teeth) / 20 teeth = 625 RPM
Therefore, the RPM of gear D is 625.
Similar Questions
A gear wheel having 84 teeth is in mesh with a 24-tooth gear. Determine the gear ratio in its simplest form.a.7:2 b 2:5 C. 5:7 D 2:3
If a drive gear has 10 teeth and the driven has 40 teeth. What is the ratio
The angular speed of an automobile is increased uniformly from 100 rad/s to 200 rad/s in 10 seconds. Calculate the number of revolutions made in this time interval.*1 point239 revs200 revs100 revs50 revs
The drum of a mixer is accelerated uniformly from rest by a driving torque of 12 Nm androtates through 50 revolutions in the first 30s. The acceleration continues for a further 20s toreach the steady operating speed of the mixer.Determine:a) the angular acceleration
The sprockets and chain of a bicycle are shown in the following figure.A chain of a bicycle goes around a pedal sprocket and a wheel sprocket.The radius of the pedal sprocket is 4 in.The radius of the wheel sprocket is 2 in.The radius of the back wheel of the bicycle is 13 in.The pedal sprocket has a radius of 4 in., the wheel sprocket a radius of 2 in., and the wheel a radius of 13 in. The cyclist pedals at 55 rpm.(a)Find the angular speed of the wheel sprocket (in rad/min). rad/min(b)Find the linear speed of the bicycle (in mi/h). (Assume that the wheel turns at the same rate as the wheel sprocket. Round your answer to one decimal place.) mi/h
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.