1. Answer part (c) of the problem. Show work. 2. Consider part (d) of the problem. How fast would the wind need to be to run the same battery down in 22 hours? 3. Which wind is faster? Wind that cools the anemometer to 0°C or wind that increases the power output of the resistive wire by 4.00%?

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I solved #1, but I need help with #2 and #3 please! Thank you!
1.
Answer part (c) of the problem. Show work.
2.
Consider part (d) of the problem. How fast would the wind need to be to run
the same battery down in 22 hours?
3.
Which wind is faster? Wind that cools the anemometer to 0°C or wind
that increases the power output of the resistive wire by 4.00%?
Transcribed Image Text:1. Answer part (c) of the problem. Show work. 2. Consider part (d) of the problem. How fast would the wind need to be to run the same battery down in 22 hours? 3. Which wind is faster? Wind that cools the anemometer to 0°C or wind that increases the power output of the resistive wire by 4.00%?
A hot wire anemomenter, as shown in
Figure 1, is a device used to measure wind
speed by measuring the current though a
circuit that includes a temperature-
Current I
dependent resistor exposed to the wind.
Fluid
The circuit diagram of the simplified
anemometer is shown in Figure 2. The
wire exposed to the wind is made of
platinum, with a radius of r = 4.00 µm,
and a length of l = 1.60 mm. The wind-
speed chilling effect on the wire temperature is represented by the equation,
Velocity U
Wire support
Sensor (thin wire)
Figure 1: Hot wire anemometer.
T(vwina) = 293 K – 0.5vwind – 0.05vwind
%3D
-
where vwind is measured in m/s and To
= 293 K represents still air. The resistivity of platinum is
Po = 10.6 × 10-8 N · m, and its temperature coefficient of resistivity is a = 3.93 × 10-3 K-1.
The rest of the wire in the circuit is assumed to be
without resistance. The battery for the anemometer
provides a constant 12.0 V.
3 RCT)
(a) Write a symbolic expression of wind speed as a
function of current, v(1), measured through the
ammeter (the “A" in the figure which is a device that
measures current).
wind
(b) What is the wind speed across the platinum wire of
Figure 2: Anemometer circuit.
the anemometer when the ammeter measures a current
increase of AI = 0.391 A?
(c) If a current was measured of 4.00 A, but a more sophisticated radiometric anemometer
measured a wind speed of 20 m/s, then what is the percent difference between the hot
wire measurement and the accepted radiometric measurement?
(d) When the anemometer is left on while outside in consistent 13.0 m/s wind, the fully
charged battery runs down after 24.0 hours. If instead the anemometer is left on while
sitting in a room with no wind and T = T, = 20.0 °C, then how long will the battery last?
Transcribed Image Text:A hot wire anemomenter, as shown in Figure 1, is a device used to measure wind speed by measuring the current though a circuit that includes a temperature- Current I dependent resistor exposed to the wind. Fluid The circuit diagram of the simplified anemometer is shown in Figure 2. The wire exposed to the wind is made of platinum, with a radius of r = 4.00 µm, and a length of l = 1.60 mm. The wind- speed chilling effect on the wire temperature is represented by the equation, Velocity U Wire support Sensor (thin wire) Figure 1: Hot wire anemometer. T(vwina) = 293 K – 0.5vwind – 0.05vwind %3D - where vwind is measured in m/s and To = 293 K represents still air. The resistivity of platinum is Po = 10.6 × 10-8 N · m, and its temperature coefficient of resistivity is a = 3.93 × 10-3 K-1. The rest of the wire in the circuit is assumed to be without resistance. The battery for the anemometer provides a constant 12.0 V. 3 RCT) (a) Write a symbolic expression of wind speed as a function of current, v(1), measured through the ammeter (the “A" in the figure which is a device that measures current). wind (b) What is the wind speed across the platinum wire of Figure 2: Anemometer circuit. the anemometer when the ammeter measures a current increase of AI = 0.391 A? (c) If a current was measured of 4.00 A, but a more sophisticated radiometric anemometer measured a wind speed of 20 m/s, then what is the percent difference between the hot wire measurement and the accepted radiometric measurement? (d) When the anemometer is left on while outside in consistent 13.0 m/s wind, the fully charged battery runs down after 24.0 hours. If instead the anemometer is left on while sitting in a room with no wind and T = T, = 20.0 °C, then how long will the battery last?
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