Find the Scalar Tangential and Normal Components of Acceleration of a Particle

question 44

Multiple Choice

Find the scalar tangential and normal components of acceleration of a particle with position vector $\mathbf { r } ( t ) = 3 \sin t \mathbf { i } + 3 \cos t \mathbf { j } + 5 t \mathbf { k }$

• A) \(a _ { \mathbf { T } } = 0\) \(a _ { \mathrm { N } } = 3\)
• B) \(a _ { \mathbf { T } } = 5\) \(a _ { \mathrm { N } } = 3\)
• C) \(a _ { \mathbf { T } } = 0\) \(a _ { \mathrm { N } } = 3 \sqrt { 26 }\)
• D) \(a _ { \mathbf { T } } = 5\) \(a _ { \mathrm { N } } = 3 \sqrt { 26 }\)

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Definitions:

Left Atrium

The heart chamber that receives oxygenated blood from the lungs and pumps it to the left ventricle.

Mean Arterial Pressure

The average blood pressure in an individual's arteries during one cardiac cycle, essential for ensuring effective tissue perfusion.

Peripheral Resistance

Peripheral resistance is the resistance of the arteries to blood flow. As the arteries constrict, the resistance increases and blood pressure rises.

Cardiac Output

The volume of blood pumped by the heart per minute, indicative of the heart's efficiency.