To answer the two questions, we need to know two important equations involving centripetal movement:
v = ωr (ω represents angular velocity <u>in radians</u>)
a =
Let's apply the first equation to question a:
v = ωr
v = ((1800*2π) / 60) * 0.26
Wait. 2π? 0.26? 60? Let's break down why these numbers are written differently. In order to use the equation v = ωr, it is important that the units of ω is in radians. Since one revolution is equivalent to 2π radians, we can easily do the conversion from revolutions to radians by multiplying it by 2π. As for 0.26, note that the question asks for the units to be m/s. Since we need meters, we simply convert 26 cm, our radius, into meters. The revolutions is also given in revs/min, and we need to convert it into revs/sec so that we can get our final units correct. As a result, we divide the rate by 60 to convert minutes into seconds.
Back to the equation:
v = ((1800*2π)/60) * 0.26
v = (1800*2(3.14)/60) * 0.26
v = (11304/60) * 0.26
v = 188.4 * 0.26
v = 48.984
v = 49 (m/s)
Now that we know the linear velocity, we can find the centripetal acceleration:
a =
a =
a = 9234.6 (m/)
Wow! That's fast!
<u>We now have our answers for a and b:</u>
a. 49 (m/s)
b. 9.2 * (m/)
If you have any questions on how I got to these answers, just ask!
- breezyツ
The correct answer is the correct answer is A
Answer:
Areas where the rocks have a reversed polarity
Explanation:
The rocks are an excellent natural indicator about the past of the magnetic field of the Earth and its changes. This is due to the direction of the metallic crystals, which always point toward the strongest pole. While in the present, the North Pole is the one that has the stronger magnetic field, it has not been like that always in the past, but there has been periods when the South Pole has been the stronger one. This can be seen by some rock samples found in the oceans, as their crystals are pointing toward what is now the South Pole, not as the newer rocks that point toward the stronger North Pole, meaning that the South Pole had the stronger magnetic field in certain periods of the past, which can be determined by the age of the rocks.
Answer:
The voltage of the generator is 88.53volts
Explanation:
The voltage across the RLC AC circuit will be the voltage across the generator. It is expressed as
V = IZ and
Z² = R² + (Xl-Xc)²
Z = √R² + (Xl-Xc)² where;
Z is the impedance that oppose the flow of current in the resistor, capacitor and inductor in the circuit
I is the total current = 0.312A
R is the resistance in the circuit = 280ohms
Xl is the inductive reactance = 508ohms
Xc is the capacitive reactance = 315ohms
Substituting to this parameters to get the impedance Z we have;
Z = √280²+(508-315)²
Z = √208²+(193)²
Z = √80,513
Z = 283.75ohms
The voltage V of the generator = current × impedance
V = 0.312×283.75
V = 88.53Volts
The voltage if the generator is 88.53volts