Solve 5.97/2*9.8*(2pi400/60)^2

$$\frac { 5.97 } { 2 \times 9.8 } \times ( 2 \pi \frac { 400 } { 60 } ) ^ { 2 }$$

Evaluate

$$\frac{7960\pi ^{2}}{147}\approx 534.435721311$$

Solution Steps

Multiply 2 and 9.8 to get 19.6.

$$\frac{5.97}{19.6}\times \left(2\pi \times \frac{400}{60}\right)^{2}$$

Expand \frac{5.97}{19.6} by multiplying both numerator and the denominator by 100.

$$\frac{597}{1960}\times \left(2\pi \times \frac{400}{60}\right)^{2}$$

Reduce the fraction \frac{400}{60} to lowest terms by extracting and canceling out 20.

$$\frac{597}{1960}\times \left(2\pi \times \frac{20}{3}\right)^{2}$$

Multiply 2 and \frac{20}{3} to get \frac{40}{3}.

$$\frac{597}{1960}\times \left(\frac{40}{3}\pi \right)^{2}$$

Expand \left(\frac{40}{3}\pi \right)^{2}.

$$\frac{597}{1960}\times \left(\frac{40}{3}\right)^{2}\pi ^{2}$$

Calculate \frac{40}{3} to the power of 2 and get \frac{1600}{9}.

$$\frac{597}{1960}\times \frac{1600}{9}\pi ^{2}$$

Multiply \frac{597}{1960} and \frac{1600}{9} to get \frac{7960}{147}.

$$\frac{7960}{147}\pi ^{2}$$

Expand

$$\frac{7960 \pi ^ {2}}{147} = 534.435721310689$$

Solution Steps

Multiply 2 and 9.8 to get 19.6.

$$\frac{5.97}{19.6}\times \left(2\pi \times \frac{400}{60}\right)^{2}$$

Expand \frac{5.97}{19.6} by multiplying both numerator and the denominator by 100.

$$\frac{597}{1960}\times \left(2\pi \times \frac{400}{60}\right)^{2}$$

Reduce the fraction \frac{400}{60} to lowest terms by extracting and canceling out 20.

$$\frac{597}{1960}\times \left(2\pi \times \frac{20}{3}\right)^{2}$$

Multiply 2 and \frac{20}{3} to get \frac{40}{3}.

$$\frac{597}{1960}\times \left(\frac{40}{3}\pi \right)^{2}$$

Expand \left(\frac{40}{3}\pi \right)^{2}.

$$\frac{597}{1960}\times \left(\frac{40}{3}\right)^{2}\pi ^{2}$$

Calculate \frac{40}{3} to the power of 2 and get \frac{1600}{9}.

$$\frac{597}{1960}\times \frac{1600}{9}\pi ^{2}$$

Multiply \frac{597}{1960} and \frac{1600}{9} to get \frac{7960}{147}.

$$\frac{7960}{147}\pi ^{2}$$