Solved

Approximation of Pi
Pi (divided by 4) can be approximated by the following infinite series: pi/4 = 1 - 1/3 + 1/5 - 1/7 + ... For a given number of...

8 days ago

Solved

Determine the number of odd integers in a vector
Determine the number of unique odd integers in a vector. Examples: Input x = [2 5 8 3 7 1]; Output y = 4; Inp...

8 days ago

Solved

Create an index-powered vector
Given a input vector x, return y as index-powered vector as shown below. Example x = [2 3 6 9] then y should be [...

8 days ago

Solved

Draw a '2' in a zero matrix!

8 days ago

Solved

Draw a '5' in a zero matrix!

8 days ago

Solved

Draw a '1' in a zero matrix!

8 days ago

Solved

Find the mass of a rod
Determine the mass (in grams) of a rod of length L cm if it is in equilibrium per the diagram. In the diagram L1, L2, L3 are di...

8 days ago

Solved

Calculate load on arm 1
A robot is designed with a motor directly attached at the pivot point of the lifting arm. The L inch arm has a weight of W1 lbs...

8 days ago

Solved

Mechanical Advantage of a Gear Train
Calculate the mechanical advantage of a gear train. The mechanical advantage of a gear couple is given by MA = T_o/T_i where ...

8 days ago

Solved

Basic Mathematics 8
A robot is extending its arm and attempting to reach a game piece that is X” away and Yg ” off the ground. The base of the arm i...

8 days ago

Solved

Basic Mathematics 7
Three generous robotics team mentors would jointly like to donate $N toward extra supplies. The second mentor is donating twice ...

8 days ago

Solved

Basic Mathematics 6
A High School is trying to build their robot to be able to reach the hanging object which is H inches from the ground. Their ro...

8 days ago

Solved

Basic Mathematics 5
The total area of all four equal sections of the game field is N ft². Each section has a rectangle of dimensions X ft x Y ft re...

8 days ago

Solved

Basic Mathematics 4
Team #1 is in first place but only one point higher than Team #2. The sum of their two scores is N. What are each team’s scores...

8 days ago

Solved

Basic Mathematics 3
It was announced during a Robotics Competition kick off that two of the trickiest scoring objects are: soup cans, and beach ball...

8 days ago

Solved

Basic Mathematics 2
If a 4’ x 8’ sheet of ½” plywood weighs W lbs and you cut an L” x L” robot base from this material, approximately how much weigh...

8 days ago

Solved

Basic Mathematics 1
If a robot is traveling on a north heading at v1 inches per second and has the ability to only make N degree changes in directio...

8 days ago

Solved

Linear Motion 7
A robot has a maximum rate of acceleration of a m/s2. If the robot starts from rest and reaches a velocity of v2 m/s. How far ha...

8 days ago

Solved

Linear Motion 6
An experimental vehicle traveling at v1 m/s is brought to a full stop in t seconds. How far does it travel before stopping? Roun...

8 days ago

Solved

Linear Motion 5
A robot moving down an incline for 3 seconds undergoes a uniform acceleration of a ft/s2. If the robot has an initial velocity o...

8 days ago

Solved

Linear Motion 4
A robot accelerates at a rate of A ft/s2. Assuming the robot starts from rest how much time is required to reach an object loca...

8 days ago

Solved

Linear Motion 3
Suppose a robot is moving in a straight line and steadily increases its speed. It moves from v1 ft/s to v1+2 ft/s in the first ...

8 days ago

Solved

Linear Motion 2
During testing in the desert, a remotely operated vehicle travels D kilometers over rough terrain. The testing takes place over...

8 days ago

Solved

Linear Motion 1
An object travels N feet in the first second of travel, N feet again during the second second of travel and N feet again during ...

8 days ago

Solved

How long do each of the stages of the rocket take to burn?
A space rocket has 3 stages: - stage 1, s1; - stage 2, s2; - stage 3, s3. If s1 burns 3 x as long as s2 which burns ...

8 days ago

Solved

Estimating Battery Lifetime Based on Load Profile and Depth of Discharge (DoD)
In a Battery Management System (BMS), the lifetime of a battery depends on various factors, including the Depth of Discharge (Do...

13 days ago

Solved

Estimating the Range of an Electric Vehicle (EV)
In Electric Vehicles (EVs), the driving range is the estimated distance a vehicle can travel on a fully charged battery. The ran...

13 days ago

Solved

Estimating Battery Backup Time for an Inverter
In a Battery Management System (BMS), estimating the backup time of a battery-powered inverter helps determine how long it can s...

13 days ago

Solved

Battery Charge Rate Calculation
In a Battery Management System (BMS), the charge rate () of a battery can be calculated using the formula: where: is th...

13 days ago

Solved

Battery State of Health (SoH) Calculation
In a Battery Management System (BMS), the State of Health (SoH) of a battery is an indicator of its overall condition. It is cal...

13 days ago