Ke Kaʻina Hana o ke Kaumaha ʻO Young's modulus - Nā Pilikia a me nā Hoʻonā

Ke Kaʻina Hana o ke Kaumaha ʻO Young's modulus - Nā Pilikia a me nā Hoʻonā

1. He 2 mm ke anawaena o ke kaula nylon, i huki ʻia e ka ikaika o 100 N. E hoʻoholo i ke koʻikoʻi!

ʻIke ʻia:

Ikaika (F) = 100 N

Anawaena (d) = 2 mm = 0.002 m

Ka laulā (r) = 1 mm = 0.001 m

Makemake ʻia: Ke kaumaha

Lōlā:

Nā ʻāpana:

A = π r ²

A = (3.14)(0.001 m) ² = 0.00000314 m ²

^A = 3.14 x 10 ^-6 m2

ʻO ke kaumaha:

ʻAʻole maopopo

2. He 100 kenimika ka lōʻihi mua o ke kaula i huki ʻia e ka ikaika. ʻO ka loli o ka lōʻihi o ke kaula he 2 mm. E hoʻoholo i ke kaumaha!

ʻIke ʻia:

Ka lōʻihi mua (l ₀ ) = 100 kenimika = 1 m

ʻO ka loli o ka lōʻihi (Δl) = 2 mm = 0.002 m

Makemake ʻia: Ke kaumaha

Lōlā:

ʻO ke kaʻaahi s :

ʻAʻole maopopo

3. He 2 m ka lōʻihi mua o ke kaula he 4 mm ke anawaena. Huki ʻia ke kaula e ka ikaika o 200 N. Inā he 2.02 m ka lōʻihi hope loa o ka pūnāwai, e hoʻoholo: (a) ke kaumaha (b) ke kaumaha (c) ka modulus o Young

ʻIke ʻia:

Anawaena (d) = 4 mm = 0.004 m

Ka laulā (r) = 2 mm = 0.002 m

Wahi (A) = π r ² = (3.14)(0.002 m) ²

^{ʻĀpana (} A) = 0.00001256 m² ⁼ 12.56 x 10 ^-6 m²

Ikaika (F) = 200 N

ʻO ka lōʻihi mua o ka pūnāwai (l ₀ ) = 2 m

ʻO ka loli o ka lōʻihi (Δl) = 2.02 – 2 = 0.02 m

Makemake ʻia: (a) Ke kaumaha (b) Ke kaumaha c) Ka modulus o Young

Lōlā:

(a) Ke kaumaha

(b) Ke Kaumaha

(c) Modulus o Young

ʻAʻole maopopo

4. He 1 kenimika ke anawaena o ke kaula a he 2 m ka lōʻihi mua. Huki ʻia ke kaula e ka ikaika o 200 N. E hoʻoholo i ka loli o ka lōʻihi o ke kaula! ʻO ka modulus o Young o ke kaula = 5 x 10 ⁹ N/m ²

ʻIke ʻia:

ʻO ka modulus o Young (E) = 5 x 109 ^N / ^m2

Ka lōʻihi mua (l ₀ ) = 2 m

Ikaika (F) = 200 N

Anawaena (d) = 1 kenimika = 0.01 m

Radius (r) = 0.5 kenimika = 0.005 m = 5 x 10 ^-3 m

ʻĀpana (A) = π r ² = (3.14)(5 x 10 ^-3 m) ² = (3.14)(25 x 10 ^-6 m ² )

ʻĀpana ( A) = 78.5 x 10 ^{-6 m²} = 7.85 x 10 ^{-5 m²}

Makemake ʻia : ʻO ka loli o ka lōʻihi (Δl)

Lōlā:

ʻO ke ʻano modulus o Young:

Ka loli o ka lōʻihi :

ʻAʻole maopopo

5. He 5 mika ke kiʻekiʻe o ka sima a he 3 m³ ka nui o ka ʻāpana ^e kākoʻo ana i ka nuipa o 30,000 kg. E hoʻoholo (a) Ke kaumaha (b) Ke kaumaha (c) Ka loli o ke kiʻekiʻe! Ka wikiwiki ma muli o ke kaumaha (g) = 10 m/s² ^. ʻO ka modulus o Young o ka sima = 20 x 109 ^N / ^m²

ʻIke ʻia:

ʻO ka modulus o Young o ka sima = 20 x 109 ^N / ^m2

Ke kiʻekiʻe mua (l ₀ ) = 5 mika

ʻĀpana (A) = 3 ^m2

Kaumaha (w) = mg = (30,000)(10) = 300,000 N

Makemake ʻia: (a) Ke kaumaha (b) Ke kaumaha (c) Ka loli o ke kiʻekiʻe!

Lōlā:

(a) Ke kaumaha

(b) Ke Kaumaha

(c) Ka loli o ke kiʻekiʻe

ʻAʻole maopopo

1. Kanawai o Hooke
2. Ke kaumaha, ke kaumaha, ka modulus o Young