Answer:
Total work done = 15,306.25 lb.ft
Explanation:
First of all, we know that;
Work done = Force x Distance.
Thus,
Work done to pull bucket (Wb) = 500 x 30 = 15,000 lb.ft
Now, work done by pulling the rope is given as a function of the length of the rope. Thus;
Wr =(x,x=0∫) F(x) dx
=(35,0∫) 0.5x dx
= 0.5[x²/2](35,0)
Thus,Wr = 0.5[(35²/2) - (0²/2)] = 0.5[612.5] = 306.25 lb.ft
Total work done will be the sum of that done to pull the bucket and that done to pull the rope.
Thus, Wt = Wb + Wr
Wt = 15000 + 306.25 = 15,306.25 lb.ft
Answer:
121m
Explanation:
Magnetic field = 0.03
Current = 1.00A
Diameter = 0.5
Length = 10vm
B = UoIN/Lcylinder * n
n = number of layer
n = 0.5x10^-3 x 0.03/4pi x 10^-7 x 1
= 0.0005x0.03/12.56x10^-7
= 11.94
~12
Average radius
= 0.008
Length of wire = 2x3.13x0.008x12x200
= 120.6m
= 121m
Answer:
8.756 rad/s²
Explanation:
Given that:
A motorcycle accelerates uniformly from rest, then initial velocity v_i = 0 m/s
It final velocity v_f = 24.8 m/s
time (t) = 9.87 s
radius (r) of each tire = 0.287 m
Firstly; the linear acceleration of the motor cycle is determined as follows:
=(V_f - v_i)/t
=(24.8-0)/9.87
=2.513 m/s²
Then; the magnitude of angular acceleration
α = /r
=2.513/0.287
=8.756 rad/s²
Use P=F/a
whereas P= 350000 and a=.9m2
substitute into the formula we get
350000=f/.9m2 multiply .9 on both sides as LHS=RHS WE get 315000 Newtons as the answer
Answer:
864 KN
Explanation:
(Absolute pressure) = (Atmospheric pressure) + (Gauge Pressure)
Atmospheric pressure = 95 KPa = 95000 Pa
Gauge Pressure = ρgh
ρ = density of the fluid = 1000 kg/m³
g = acceleration due to gravity = 9.8 m/s²
h = depth below the fluid level that the object is at = 5 m
Gauge Pressure = 1000 × 9.8 × 5 = 49000 Pa
Absolute pressure = 95000 + 49000 = 144000 Pa.
Pressure = (Hydrostatic force)/(Area perpendicular to the force)
Hydrostatic force = (Pressure) × (Area perpendicular to the force)
Area perpendicular to the force = 2 × 3 = 6 m²
Hydrostatic force on the top of the plate = 144000 × 6 = 864000 N = 864 KN
Hope this Helps!!!