Translate it to English for me to better understand
Answer: a= 4.4ms-2
Displacement= 26.95 m
Explanation:
First, the speed in km/hr must be converted to m/s so that we can apply it in solving the question. The motion started from rest hence the initial velocity is 0m/s. The average displacement is also obtained from the equations of motion as shown in the image attached.
Answer:
a) w = 31.4 rad / s, b) a = 118.4 m / s²
Explanation:
a) let's reduce to the SI system
w = 5 rev / s (2pi rad / 1 rev)
w = 31.4 rad / s
b) the expression for the centripetal acceleration is
a = v² / r
linear and angular variables are related
v = w r
we substitute
a = w² r
a = 31.4² 0.120
a = 118.4 m / s²
Complete question is;
A 50.-ohm resistor, an unknown resistor R, a 120-volt source, and an ammeter are
connected in a complete circuit. The ammeter reads 0.50 ampere.
A) Calculate the equivalent resistance of the circuit shown.
B) Determine the resistance of resistor R shown in the diagram.
Answer:
A) R_eq = 240 Ω
B) R = 190 Ω
Explanation:
A) To get the equivalent resistance, we will use the formula;
R = V/I
Where;
V is Voltage
I is current
R is equivalent resistance
From the question, V = 120 V and I = 0.5A
Thus;
R_eq = 120/0.5
R_eq = 240 Ω
B) From the image, we see that the resistors are connected in series.
Formula for resistors in series is;
R = R1 + R2 +..... Rn
Thus;
240 = 50 + R
R = 240 - 50
R = 190 Ω
The important point here is that volumetric flow rate in the pump and the pipe is the same.
Q = AV, where Q = Volumetric flow rate, A = Cross sectional area, V = velocity
Q (pump) = (π*15^2)/4*2 = 353.43 cm^3/s
Q (pipe) = (π*(3/10)^2)/4*V = 0.071V
Q (pump) = Q (pipe)
0.071V = 353.43 => V = 5000 cm/s
Therefore, the flow of water in the pipe is 5000 cm/s.