Answer:
x(t) = -3sin2t
Explanation:
Given that
Spring force of, W = 720 N
Extension of the spring, s = 4 m
Attached mass to the spring, m = 45 kg
Velocity of, v = 6 m/s
The proper calculation is attached via the image below.
Final solution is x(t) = -3.sin2t
Answer:
Caustic soda would be least affected by a gas curtailment
Explanation:
Let,
X1= ammonia
X2= ammonium phosphate
X3= ammonium nitrate
X4 = Urea
X5= hydro-fluoric acid
X6= Chlorine
X7= Caustic soda
X8= Vinyl chloride monomer.
Agri chem’s current natural gas usage
= (1200 × 8 + 540 × 10 + 490 × 12 + …)
= 85,680,000 cu. ft. per day
When, the curtailment is 20%, availability is
= 0.8 X 85,680
= 68,554,000 cu. ft. per day
Therefore, the gas constant
= 8X1 + 10X2 + 12X3 + 12X4 + 7X5 + 18X6 + 20X7 + 14X8 ≤68,544
When, the curtailment is 40% availability is
= 0.6 X 85,680
= 51,408,000 cu. ft. per day
Constant = 8X1 + 10X2 + 12X3 + 12X4 + 7X5 + 18X6 + 20X7 + 14X8≤ 51,408
Answer:
The magnitude of actual velocity is <u>496.67 mph</u> and its direction is <u>51.54° with the x axis in the third quadrant</u>.
Explanation:
Given:
Speed of jumbo jet in southwesterly direction = 550 mph
Velocity of jet stream from west to east direction
First let us draw a vectorial representation of the above velocity vectors.
Consider the south direction as negative y axis and west direction as negative x axis.
From the diagram,
The velocity of the jet can be represented as:
Similarly, the velocity of the stream is,
Now, the vector sum of the above two vectors gives the actual velocity of the aircraft. So, the resultant velocity is given as:
Now, magnitude is given as the square root of sum of the squares of the 'i' and 'j' components. So,
As the horizontal and vertical components of actual velocity negative, the resultant vector makes an angle with the x axis in the third quadrant.
The direction is given as:
Therefore, the magnitude of actual velocity is 496.67 mph and its direction is 51.54° with the x axis in the third quadrant.
