Engineering Mathematics

 Here in this post, i will solve some engineering mathematics.Mathematics is every day life practice,This simply talks about our daily things we do, we make use and the time spent.If you have that zeal to be an engineering student after your high school,you must work on mathematics five days a week,especially  elementary mathematics and other advanced mathematical text books. 

Question 1:.A rectangular plate has dimensions of 12 inches by 8 inches. Calculate the area of the plate.

Solution:

To calculate the area of a rectangle, we multiply its length by its width. Therefore, the area of the rectangular plate is 12 inches × 8 inches = 96 square inches.

Question 2:

A cylindrical tank has a radius of 5 meters and a height of 10 meters. Find the volume of the tank.

Solution:

The volume of a cylinder can be calculated using the formula V = πr^2h, where V is the volume, r is the radius, and h is the height. Substituting the given values, we have V = π × (5 meters)^2 × 10 meters = 250π cubic meters.

Question 3:

A force of 500 Newtons is applied to an object, resulting in an acceleration of 10 meters per second squared. Find the mass of the object.

Solution:

Newton's second law of motion states that force (F) is equal to mass (m) multiplied by acceleration (a). Rearranging the formula, we have m = F / a. Substituting the given values, the mass of the object is 500 Newtons / 10 meters per second squared = 50 kilograms.

Question 4:

A resistor has a resistance of 100 ohms. Calculate the current flowing through the resistor when a voltage of 12 volts is applied.

Solution:

According to Ohm's law, the current (I) flowing through a resistor is equal to the voltage (V) divided by the resistance (R). Applying the formula, we have I = V / R = 12 volts / 100 ohms = 0.12 amperes.

Question 5:

A machine consumes 500 watts of power and operates for 4 hours. Calculate the energy consumed by the machine.

Solution:

To calculate the energy consumed, we multiply the power (P) by the time (t). Therefore, the energy consumed is 500 watts × 4 hours = 2000 watt-hours or 2 kilowatt-hours.

Question 6:

A car travels a distance of 300 kilometers in 5 hours. Determine the average speed of the car.

Solution:

The average speed can be calculated by dividing the total distance traveled by the total time taken. Therefore, the average speed of the car is 300 kilometers / 5 hours = 60 kilometers per hour.

Question 7:

A triangle has a base of 8 meters and a height of 6 meters. Find the area of the triangle.

Solution:

The area of a triangle can be calculated using the formula A = 1/2 × base × height. Substituting the given values, we have A = 1/2 × 8 meters × 6 meters = 24 square meters.

Question 8:

A capacitor has a capacitance of 50 microfarads and is connected to a voltage source of 100 volts. Calculate the charge stored in the capacitor.

Solution:

The charge stored in a capacitor can be calculated by multiplying the capacitance (C) by the voltage (V). Therefore, the charge stored in the capacitor is 50 microfarads × 100 volts = 5000 microcoulombs or 5 milliocoulombs.

Question 9:

A ball is thrown vertically upwards with an initial velocity of 20 meters per second. Calculate the maximum height reached by the ball.

Solution:

To determine the maximum height reached by the ball, we can use the kinematic equation for vertical motion. The equation is given as: v^2 = u^2 - 2gh, where v is the final velocity, u is the initial velocity, g is the acceleration due to gravity, and h is the maximum height. Since the ball reaches its highest point, the final velocity is 0. Rearranging the equation, we have h = (u^2) / (2g) = (20 m/s)^2 / (2 × 9.8 m/s^2) ≈ 20.4 meters.

Question 10:

A pump lifts water from a well to a tank located 15 meters above the ground. The efficiency of the pump is 80%. If the pump consumes 1000 watts of power, calculate the power delivered to the water.

Solution:

The power delivered to the water can be found by multiplying the power consumed by the efficiency of the pump. Therefore, the power delivered to the water is 1000 watts × 0.8 = 800 watts.

These are ten sample questions and solutions for engineering calculations. Practice solving similar problems to enhance your understanding and proficiency in engineering calculations.If you have questions, please ask by writing them in the comments box.