Solution Manual Chapter 24 Design Step 4:
Detailed Design
Analysis
1) If the rotational speed of a shaft is 250. RPM, what is its robotic its speed in radians per second?
2) What is the mechanical power output of a shaft rotating at 1500 RPM that has a torque of 200
Nm?
Solution:
3) If a small DC motor has a power output of 3 watts at 700 RPM, what is its torque?
4) A small 8 watt DC motor on a robot is geared down to produce an output torque of 350 Nm.
What is the rotational speed of the output shaft?
5) If the no-load motor speed in Example 24.3 was 3600 RPM, what would the overall gear ratio
required to allow the moving platform to have a top speed of 4 inches per second?
Solve:
noload tire
rmp
2 radians/rev 3,600. rev/min) (1.00 in
2
GR 94.3
60 (60 s/min) (4.0 in/s)
NR
V
6) If the overall gear ratio in Example 24.3 was 50, what would be the top speed of the moving
platform?
rmp
60 GR (60 s/min) (50)
7) What is the translational kinetic energy of the moving platform in Example 24.3 if it weighs 5.0
newtons1?
8) If the motor in Example 24.3 was replaced with a similar motor that had a torque of 3.42 ounce–
inches and a no–load speed of 1759 RPM, what overall gear ratio is required to have the moving
platform reach a top speed of 6.89 inches per second?
16) Make a hand-drawn detailed sketch of the stair climbing device shown in Figure 24.10. Choose
your own dimensions for the components.