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Vika [28.1K]
3 years ago
7

ω=km⎯⎯⎯⎯√ . This is the formula for the angular frequency ω of a mass m suspended from a spring of spring constant k. Solve this

formula for m.
Mathematics
1 answer:
Sindrei [870]3 years ago
6 0

The formula for the mass in terms of angular velocity and spring constant is m = ω²/k

Given the expression as:

ω = √km

Given that

ω is the angular velocity

m is the mass suspended from a spring

k is the spring constant

Making m the subject of the formula

Step 1: Take the square of both sides

ω² = (√km)²

ω² = km

Step 2: Divide both sides by k

ω²/k = km/k

ω²/k = m

Swap

m = ω²/k

Hence the formula for the mass in terms of angular velocity and spring constant is m = ω²/k

Learn more here: brainly.com/question/21140562

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(7a^3 -2a-2)+(-5a+3)
atroni [7]

Answer:

7a  3  −7a+1

Step-by-step explanation: I hope this help.

STEP

1

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Equation at the end of step 1

 ((7a3 -  2a) -  2) +  (3 - 5a)

STEP

2

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Polynomial Roots Calculator :

2.1    Find roots (zeroes) of :       F(a) = 7a3-7a+1

Polynomial Roots Calculator is a set of methods aimed at finding values of  a  for which   F(a)=0  

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers  a  which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number  P/Q   then  P  is a factor of the Trailing Constant and  Q  is a factor of the Leading Coefficient

In this case, the Leading Coefficient is  7  and the Trailing Constant is  1.

The factor(s) are:

of the Leading Coefficient :  1,7

of the Trailing Constant :  1

Let us test ....

  P    Q    P/Q    F(P/Q)     Divisor

     -1       1        -1.00        1.00      

     -1       7        -0.14        1.98      

     1       1        1.00        1.00      

     1       7        0.14        0.02      

Polynomial Roots Calculator found no rational roots

Final result :

 7a3 - 7a + 1

6 0
3 years ago
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Answer:

The correct answer is: C

Step-by-step explanation:

2(4x - 5) < 14x + 8

First multiply 2 by 4x and -5

8x - 10 < 14x + 8

Now find out what x is

Move 14x to the left

8x - 14x - 10 = 8

Then move 10 to the right and change it's sign to plus

8x - 14x = 8 + 10

Now combine like terms

-6x = 18

Now divide 18 by 6 to get x

x = 18/-6

x = -3


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