Both the Magnitude and Direction of the Force on a Crankshaft

question 167

Multiple Choice

Both the magnitude and direction of the force on a crankshaft change as the crankshaft rotates.Vectors representing the position of the crank and the force are $\mathbf { V } = 0.16 \left( - \cos 30 ^ { \circ } \mathbf { j } - \sin 30 ^ { \circ } \mathbf { k } \right)$ and $\mathbf { F } = - 2000 \mathrm { k }$ respectively.The magnitude of the torque on the crank is given by $\| \mathbf { V } \times \mathbf { F } \|$ ,find the magnitude of the torque on the crank shaft using the position and data shown in the figure. $$\mathbf { a } = 2000 , \mathbf { b } = 0.16$$

• A) \(320 \sqrt { 3 } \mathrm { lt } - \mathrm { fb }\)
• B) \(160 \mathrm { lt } - \mathrm { fb }\)
• C) \(3201 \mathrm { t } - \mathrm { fb }\)
• D) \(160 \sqrt { 3 } \mathrm { lt } - \mathrm { fb }\)
• E) \(2000 \sqrt { 3 } \mathrm { lt } - \mathrm { fb }\)

---

Definitions:

Merchandisers

Businesses that purchase goods for resale at a profit, dealing primarily in tangible products that are marketed to consumers or other businesses.

Credit

An accounting entry that increases a liability or equity account, or decreases an asset or expense account; also refers to the provision of resources based on a trust agreement.

Sales Tax

A tax imposed by governments on the sale of goods and services.

Total Revenue

The entire amount of income generated by the sale of goods, services, or other financial assets before any deductions are made.