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3 years ago

A wheel is observed to rotate 5 complete revolutions in 25 seconds. What is its angular speed

Physics

1 answer:

skelet666 [1.2K]3 years ago

8 0

<u>Answer</u>

1.26 rad/s

the first step is to find the frequency of the wheel.

The wheel rotates at rate of 5 revolutions in 25 seconds. The frequency is the number of revolutions per second.

frequency (f) = 5/25

= 1/5

= 0.2 Hz

Angular velocity = 2πf

= 2×π×0.2

= 0.4π rad/s or

= 1.26 rad/s

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If the instrument is played at a higher pitch, then the waves become shorter,
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1) The equivalent resistance is $2.73\Omega$

2) The voltage in the circuit is 120 V

3) The total current in the circuit is 44.0 A

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Resistors are said to be in parallel when they have the same potential difference at their terminals.

The formula to calculate the equivalent resistance for three resistors in parallel is:

$\frac{1}{R_T}=\frac{1}{R_1}+\frac{1}{R_2}+\frac{1}{R_3}$

where $R_1, R_2, R_3$ are the resistances of the three resistors.

In this problem, the resistance of each resistor is:

$R_1 = 5.0 \Omega$

$R_2 = 10.0 \Omega$

$R_3 = 15.0 \Omega$

Substituting,

$\frac{1}{R_T}=\frac{1}{5}+\frac{1}{10}+\frac{1}{15}=\frac{11}{30}$

So the equivalent resistance is

$R_T = \frac{30}{11}=2.73 \Omega$

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