Tegangan Regangan Modulus Young – Masalah lan Solusi
1. Tali nilon duwé diameter 2 mm, ditarik nganggo gaya 100 N. Temtokaké tegangané!
Dikenal:
Pasukan (F) = 100 N
Diameter (d) = 2 mm = 0.002 m
Radius (r) = 1 mm = 0.001 m
Dikarepake: Stres
Solusi:
Area:
A = π r2
A = (3.14)(0.001 m)2 = 0.00000314 m2
A = 3.14 x 10-6 m2
Stres kasebut:
2. Tali sing dawane asli 100 cm ditarik dening gaya. Owah-owahan dawane tali kasebut yaiku 2 mm. Temtokake regangane!
Dikenal:
Dawane asli (l)0) = 100 cm = 1 m
Owah-owahan dawa (Δl) = 2 mm = 0.002 m
Dikarepake: Galur kasebut
Solusi:
Para ssepur
3. Tali kanthi diameter 4 mm nduweni dawa asli 2 m. Tali kasebut ditarik dening gaya 200 N. Yen dawa pungkasan pegas yaiku 2.02 m, temtokake: (a) tegangan (b) regangan (c) modulus Young
Dikenal:
Diameter (d) = 4 mm = 0.004 m
Radius (r) = 2 mm = 0.002 m
Jembar (A) = π r2 = (3.14)(0.002 m)2
Jembar (A) = 0.00001256 m²2 = 12.56 x 10-6 m2
Gaya (F) = 200 N
Dawane pegas asli (l)0) = 2 m
Owah-owahan dawa (Δl) = 2.02 – 2 = 0.02 m
Dikarepake: (a) Tegangan (b) Regangan c) Modulus Young
Solusi:
(a) Stresno
(b) Galur
(c) Modulus enom
4. Tali duwé diameter 1 cm lan dawa asli 2 m. Tali kasebut ditarik déning gaya 200 N. Temtokaké owah-owahan dawa tali kasebut! Modulus Young tali kasebut = 5 x 109 N / m2
Dikenal:
Modulus Young (E) = 5 x 109 N / m2
Dawane asli (l)0) = 2 m
Gaya (F) = 200 N
Diameter (d) = 1 cm = 0.01 m
Jari-jari (r) = 0.5 cm = 0.005 m = 5 x 10-3 m
Jembar (A) = π r2 = (3.14)(5 x 10-3 m)2 = (3.14)(25 x 10-6 m2)
Jembar (A) = 78.5 x 10-6 m2 = 7.85 x 10-5 m2
wanted : Owah-owahan dawa (Δl)
Solusi:
Rumus modulus Young:
Owah-owahan dawane :
5. Beton nduweni dhuwur 5 meter lan nduweni jembar unit 3 m3 ndhukung a massa 30,000 kg. Temtokake (a) Tegangan (b) Regangan (c) Owah-owahan dhuwur! Akselerasi amarga gravitasi (g) = 10 m/s2Modulus Young beton = 20 x 109 N / m2
Dikenal:
Modulus Young beton = 20 x 109 N / m2
Dhuwur awal (l)0) = 5 meter
Jembar unit (A) = 3 m2
bobot (w) = mg = (30,000)(10) = 300,000 N
Dikarepake: (a) Tegangan (b) Regangan (c) Owah-owahan dhuwur!
Solusi:
(a) Stres kasebut
(b) Galur
(c) Owah-owahan ing dhuwur
