The statement that "Income only includes salary " is not true.
Income is the money that an individual or organization<u> </u>receives in return for their services or goods.
Depending on the context—such as taxation, financial accounting, or economic analysis—income may have a variety of definitions.
For the majority of people, their total earnings include their wages and salaries, investment returns, pension payments, and other receipts.
For businesses, income refers to the money made from<u> selling goods and services as well as any interest or dividends paid </u>on the company's cash holdings and reserves.
So, the amount of money, property, and other value transfers received over a predetermined period in return for goods or services is often referred to as "income."
That's why income does not include only salary.
Hence Statement (D) about the income is not true.
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The triangle stands for change. X means the distance spring stretched or compressed. so together, it's the change in the distance of the spring stretched or compressed.
Answer:
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Answer:
a) 65.2 s
b) -0.083 rad/s/s
c) 19 s
Explanation:
a) Angular displacement = θ = 28 rev = 28 × 2 π =175.9 rad
Initial angular velocity = ω₁ = 5.4 rad/s
Final angular velocity = ω₂ = 0, since it comes to rest
Angular acceleration = α = ( ω₂² - ω₁² ) / 2θ = - 0.083 rad/s/s
Time taken to come to rest = t = (ω₁ - ω₁ ) / α = 65.2 s
b) Angular acceleration = α = - 0.083 rad/s/s
c) Angular displacement = θ ' = 14 rev = 87.96 rad
θ'= ω₁ t + 0.5 α t²
Angular acceleration is said to be constant.
⇒ 87.96 = 5.4 t + 0.5 ( - 0.083 ) t²
⇒ 0.0415 t² - 5.4 t + 87.96 = 0
Solving this quadratic equation for t,
⇒ t =111 s or 19 s
(Since time for 28 rev is 65.2 s, for 14 rev , it cannot be greater than that so 19 s is chosen out of the two roots for t)