Question

mass of string and hex nut: 0.0297 kg

calculations:

Explanation:

Step1: Calculate acceleration for 3 - blade windmill

Using formula \(a=\frac{2d}{t^{2}}\), \(d = 0.3m\), \(t=3.622s\)
\(a=\frac{2\times0.3}{3.622^{2}}=\frac{0.6}{13.119}=0.0457m/s^{2}\)

Step2: Calculate force for 3 - blade windmill

Using \(F = ma\), \(m = 0.0297kg\), \(a = 0.0457m/s^{2}\)
\(F=0.0297\times0.0457 = 0.00136N\)

Step3: Calculate work for 3 - blade windmill

Using \(W = Fd\), \(F = 0.00136N\), \(d = 0.3m\)
\(W=0.00136\times0.3=0.000408Nm\)

Step4: Calculate power for 3 - blade windmill

Using \(P=\frac{W}{t}\), \(W = 0.000408Nm\), \(t = 3.622s\)
\(P=\frac{0.000408}{3.622}=0.000113W\)

Step5: Calculate acceleration for 4 - blade windmill

Using formula \(a=\frac{2d}{t^{2}}\), \(d = 0.3m\), \(t = 3.532s\)
\(a=\frac{2\times0.3}{3.532^{2}}=\frac{0.6}{12.475}=0.0481m/s^{2}\)

Step6: Calculate force for 4 - blade windmill

Using \(F = ma\), \(m = 0.0297kg\), \(a = 0.0481m/s^{2}\)
\(F=0.0297\times0.0481=0.00143N\)

Step7: Calculate work for 4 - blade windmill

Using \(W = Fd\), \(F = 0.00143N\), \(d = 0.3m\)
\(W=0.00143\times0.3 = 0.000429Nm\)

Step8: Calculate power for 4 - blade windmill

Using \(P=\frac{W}{t}\), \(W = 0.000429Nm\), \(t = 3.532s\)
\(P=\frac{0.000429}{3.532}=0.000121W\)

Answer:

Type of Windmill	Force (N)	Distance (m)	Work (Nm)	Power (Watts)
4 - BLADE WINDMILL	\(0.00143\)	\(0.3\)	\(0.000429\)	\(0.000121\)