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Smooth Starts for a Delivery Robot: Net Force, Load and Speed

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Smooth Starts for a Delivery Robot: Net Force, Load and Speed

Plan and analyze robot runs to see how net force and mass change motion.

The test runs

Read the team notes and Tables 1 and 2, then answer the questions.

Robotics Team Notes: Teaching Relay to Start Smoothly

1The robotics team at Larkfield Middle School built Relay, a robot that carries lunch trays and library books down the school's long hallways. On its first trial run, Relay lurched forward so quickly that a cup of soup slid off its tray. Team members Ottilie Nakashima and Bram Castellucci decided to find out how the net force on Relay and its total mass affect how quickly its speed changes.

2With no load, Relay has a mass of 4.0 kg. To add mass, the pair strapped sandbags into its tray bin. Relay's program sets how hard its wheels push. To measure each setting, the pair hooked Relay to a force gauge tied to a wall and let its wheels push while the gauge held it still. Relay's wheels and motors also rub as it rolls, so friction pushes back on it. To measure friction, the pair towed Relay slowly at a steady speed with the gauge (Table 1). Then they subtracted friction from the wheel push to find the net force.

3Every run started from rest on the same stretch of smooth tile floor, and a motion sensor measured Relay's speed 2.0 s after the start. The pair repeated each run three times and recorded the averages in Table 2. The hallway was cleared during each run, and Relay never went faster than a slow walk.

4Before collecting data, the pair checked that the floor was level. They set Relay down with its motors off and made sure it did not start rolling in either direction. They also marked a start line with tape, so that every run began at the same spot, at least 10 m from the end of the hallway, and a teammate stood at the far end to stop Relay if anything went wrong. After the tests, Relay's own motion sensor kept a log of its speed during real deliveries, so the team could check how it started and stopped with a load on board.

5The cafeteria staff gave the team a requirement for soup trays. Relay's speed may change by no more than 0.25 m/s each second, and it should reach 0.50 m/s within 2.0 s of starting. Relay's motors can push with at most 8.0 N.

Table 1. Friction check (towed at a slow, steady speed)
Total mass (kg)Gauge reading (N)
40.8
81.6
163.2
Table 2. Runs from rest (averages of three trials)
RunTotal mass (kg)Wheel push (N)Speed after 2.0 s (m/s)
141.80.5
242.81
383.60.5
4165.20.25
5167.20.5
682.60.25
1.
Use Tables 1 and 2. In run 4, the wheels push forward with 5.2 N.

The net force on Relay in run 4 is N forward.

2.
Which runs should the pair compare to find out how mass alone affects the change in speed?
Question 2 options
3.
What pattern do the runs you chose in question 2 show?
Question 3 options
4.
Compare runs 4 and 5. What do they show?
Question 4 options
5.
Bram's first plan for the mass test used a wheel push of 2.8 N with every load. Ottilie changed the plan so that the push was larger for heavier loads. Why?
Question 5 options

A delivery run and the soup requirement

Use the tables and paragraph 5.

On a real delivery, Relay carried a load that made its total mass 8 kg, the same as in runs 3 and 6. Its motion sensor logged its speed.
Table 3. Delivery log (total mass 8 kg)
Time (s)Speed (m/s)
00
10.25
20.5
40.5
60.5
70.25
80
6.
From 2 s to 6 s, Relay rolled at a steady speed. Use Table 1.

During that time, the wheels were pushing forward with about N.

7.
From 6 s to 8 s, Relay's speed dropped by 0.25 m/s each second. In run 3, a net force of 2.0 N changed this 8 kg robot's speed by 0.25 m/s each second. Friction pushes backward with 1.6 N, and the wheels can also push backward to brake.

The net force while Relay slows down is N backward, so the wheels must push backward with N.

8.
To meet the soup requirement exactly, Relay's speed must rise by 0.25 m/s each second. The runs show this takes a net force of 0.25 N for each kilogram of total mass, and friction from Table 1 adds 0.2 N for each kilogram. Use paragraph 5. Circle every total mass Relay can start smoothly.

9.
Suppose Relay carries a load that makes its total mass 12 kg, and the pair sets the wheel push so the net force is 2.0 N, as in runs 2, 3 and 4. What speed should Relay reach 2.0 s after starting?
Question 9 options
10.
Bram says, "Run 4 was slow because the heavy load has more friction. If there were no friction at all, the load would not change how fast Relay speeds up." Do you agree? Make a claim, use evidence from Tables 1 and 2, and explain your reasoning about net force and mass.