Calculating Force and Stretch in a Helical Spring

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The answer is 25cm. If an additional 0.8 kg is added, the force exerted on the spring would be 81N (270 X 0.3), and the length would be 67.5cm. Therefore, the unstretched length of the spring is 25cm and the additional length when 0.8 kg is added is 67.5cm. In summary, the unstretched length of the spring is 25cm and the length when an additional 0.8 kg is added is 67.5cm.
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SarahFoley
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A helical spring of spring constant 270 Nm-1 hangs vertically from a fixed support. When a 1.2 kg mass is attached to the free end of the spring the length of the spring is 30cm. What is the unstretched length of the spring? What would be the length of the spring if an additional 0.8 kg was added?

A. 26 cm; 37 cm

B. 26cm; 35cm

C. 24cm; 31cm



F = kx



this is what i keep getting for the first part of the answer. which is not one of the three answers. can someone please show me how to do this properly

270 X 0.3 = 81
81N = 1.2
81N ÷ 1.2 = 67.5
67.5 = 270 X d
D = 67.5 ÷ 270 = 25cm
 
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  • #2
When the 1.2 kg mass is attached, what force does it exert? Use Hooke's law (F = kx) to determine how much that force stretches the spring from its unstretched length.
 

FAQ: Calculating Force and Stretch in a Helical Spring

What is a helical spring?

A helical spring is a mechanical device that is used to store and release energy by means of compression or extension. It is made up of a tightly wound wire or coil that can be compressed or extended to absorb and release forces.

What are the different types of helical springs?

There are several types of helical springs, including compression springs, extension springs, torsion springs, and constant force springs. Compression springs are designed to resist compression forces, while extension springs are designed to resist pulling or stretching forces. Torsion springs are used to resist twisting forces, and constant force springs provide a constant force throughout its deflection.

What are the applications of helical springs?

Helical springs have a wide range of applications in various industries, including automotive, aerospace, construction, and manufacturing. They are commonly used in suspension systems, valves, and various mechanical devices to absorb and release energy.

How are helical springs designed?

The design of a helical spring depends on the specific application and the forces it needs to withstand. Factors such as material, wire diameter, number of coils, and the type of ends used all play a role in the design process. The design is typically done using specialized software or by following established design equations and guidelines.

How do you calculate the spring rate of a helical spring?

The spring rate, also known as spring constant, is a measure of how much force is required to compress or extend a spring. It is calculated by dividing the force applied by the distance the spring is compressed or extended. The spring rate of a helical spring can also be calculated using its physical dimensions, such as wire diameter, coil diameter, and number of coils, and the material's modulus of elasticity.

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