Use the formula and given information to solve for the indicated variable. Round answers to two decimal places as necessary.
V = √PR
Given: P = 1,219 and R = 4.14. Calculate V.
Answer (1)
Substitute the given values P = 1219 and R = 4.14 into the formula V = PR .
Calculate the product: 1219 × 4.14 = 5048.46 .
Determine the square root: V = 5048.46 ≈ 71.0398 .
Round the result to two decimal places: V ≈ 71.04 .
Explanation
Understanding the Problem We are given the formula V = PR , and the values P = 1219 and R = 4.14 . Our goal is to calculate the value of V and round it to two decimal places.
Substituting the Values First, we substitute the given values of P and R into the formula: V = 1219 × 4.14
Calculating the Product Next, we calculate the product of P and R :
1219 × 4.14 = 5048.46 So, we have: V = 5048.46
Calculating the Square Root Now, we calculate the square root of the product: V = 5048.46 ≈ 71.03984797
Rounding to Two Decimal Places Finally, we round the calculated value of V to two decimal places: V ≈ 71.04
Final Answer Therefore, the value of V rounded to two decimal places is 71.04.
Examples
Imagine you are calculating the speed of a wave ( V ) in a medium, where P represents the tension in the medium and R represents the mass per unit length. If the tension is 1219 Newtons and the mass per unit length is 4.14 kg/m, you can use the formula V = PR to find the wave speed. This calculation is crucial in fields like acoustics and seismology to understand wave propagation. By substituting the given values, we find the wave speed to be approximately 71.04 m/s, rounded to two decimal places. This helps in predicting how waves will behave in different conditions.
