# Physics

If the elastic limit of steel is 5.0 multiplied by 108 Pa, determine the minimum diameter a steel wire can have if it is to support a 79 kg circus performer without its elastic limit being exceeded.

1. 👍 0
2. 👎 0
3. 👁 239
1. Maximum stress = (Force/Area)
5*10^8 N/m^2 = (79*9.8 N)/[(pi/4)D^2]

The mimimum diameter, D, will be in meters

pi/4 * D^2 = 1.55*10^-6 m^2

D^2 = 1.97*10^-6 m^2
D = 1.4*10^-3 m = 1.4 mm.

1. 👍 0
2. 👎 0
2. Thanks so much!

1. 👍 0
2. 👎 0

## Similar Questions

1. ### thermal physics

a force of 2N stretches an elastic material by 30mm. What additional force will stretch the material by 35mm assuming the elastic limit is not exceeded

asked by thermal physics on May 5, 2017
2. ### physics

The sun radiates like a perfect blackbody with an emissivity of exactly 1. (a) Calculate the surface temperature(K) of the sun, given it is a sphere with a 7.00 multiplied by 108 m radius that radiates 3.80 multiplied by 1026 W

asked by Alice on July 21, 2013
3. ### science

a cylinder of diameter 1cm at 30 degrees celcius is to be slid into a steel plate. the hole has a diameter 0.9997cm at 30 degrees celcius. to what temperature must the plate be heated? for steel

asked by peter on May 12, 2014
4. ### Calculus

The management of the UNICO department store has decided to enclose a 917 ft2 area outside the building for displaying potted plants and flowers. One side will be formed by the external wall of the store, two sides will be

asked by Anonymous on June 18, 2013
1. ### Physics

Tom the train and Dan are involved in an elastic collision. A 2.5 kg Tom is, at rest but is approached head-on by a 5.0 kg Dan moving at 0.60 m/s. The force-separation graph for the ensuing collision is given: the picture of the

asked by Nick on March 25, 2012
2. ### Physics

The Golden Gate Bridge in San Francisco has a main span of length 1.28 km, one of the longest in the world. Imagine that a steel wire with this length and a cross-sectional area of 4.00 x 10-6 m^2 is laid on the bridge deck with

asked by Anna on June 15, 2015
3. ### physics

A light rigid bar is suspended horizontally from two vertical wires, one of steel and one of brass. Each wire is 2.00m long. The diameter of the steel wire is 0.60mm and the length of the bar AB is 0.20m. When a mass of 10.0kg is

asked by Edwin on March 27, 2010
4. ### math

A steel post is 6 ft. long and 6" thick in diameter. If a cubic foot of steel weighs 490 lb., how much does the rod weigh (to the nearest pound)?

asked by Becky on June 24, 2014
1. ### Solid Mechanics

Determine the ratio of strenghts of a solid steel column to that a hollow column of the same material and having the same cross sectional area. The internal diameter of the hollow column is 1/2 of its external diameter. Both the

asked by rakesh on August 8, 2012
2. ### physics

A strip of rubber originally 75 mm long is stretched until it is 100 mm long. a.What is the tensile strain b.Why has the answer no units? c.The greatest tensile stress which steel of a particular sort of a particular sort can

asked by farid on December 27, 2013
3. ### Physics

A force of 2N stretches an elastic material by 0.03m. What additional force will stretch the material by 0.03. Assume that the elastic limit is not exceeded.

asked by Christel on July 3, 2020
4. ### Physics

a 10m long steel cable is lifting a 30 ton crate upward off a ship. If the cable streches by .5cm under these conditions, determine the radius of the steel cable. Young's modulus of steel :2x10raised to 9 Pa

asked by Chelie on December 3, 2014