In the formula V =E ^b d ^a, if V, E and d are the velocity longitudinal waves, bulk modulus of elasticity and density of the gaseous medium

Question

In the formula V =E ^b d ^a, if V, E and d are the velocity longitudinal waves, bulk modulus of elasticity and density of the gaseous medium respectively, then calculate the values of a and b

in progress 0
Thiên Thanh 4 years 2021-09-04T00:18:35+00:00 1 Answers 287 views 2

Answers ( )

  1. kiet
    0
    2021-09-04T00:20:25+00:00
    Reply

    Answer:

    b=\frac{1}{2} and a=-\frac{1}{2}

    Explanation:

    The velocity longitudinal waves depends on the bulk modulus and the density. It is given by the formula:

    V=\sqrt{\frac{\beta }{\rho} }

    Where V is the velocity , β is the bulk modulus and ρ is the density.

    V=\sqrt{\frac{\beta }{\rho} }\\V=\frac{\beta^\frac{1}{2} }{\rho^\frac{1}{2} } \\V=\beta^\frac{1}{2} \rho^-\frac{1}{2}

    Therefore comparing with V =E ^b d ^a, where V, E and d are the velocity longitudinal waves, bulk modulus of elasticity and density, the values of b and a can be gotten.

    Therefore, b=\frac{1}{2} and a=-\frac{1}{2}

Leave an answer

Browse

Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )