1. Wheel 3 0 cm na radius na-agbagharị na 5 rad/s mgbe niile 2. Kedu ka oke nke osooso ahịrị nke isi dị na (a) 10 cm site na etiti (b) 20 cm site na etiti (c) na nsọtụ wiil ahụ?
A maara:
Redịọs (r) = 30 cm = 0.3 m
Ọsọ ọsọ akụkụ ( α ) = 5 rad/s 2
Achọrọ: osooso ahịrị (a) r = 0.1 m (b) r = 0.2 m (c) r = 0.3 m
Ngwọta:
Mmekọrịta dị n'etiti osooso ahịrị (a) na osooso angular:
a = r α
(a) osooso ahịrị, r = 0.1 m
a = (0.1 m)(5 rad/s 2 ) = 0.5 m/s 2
(b) osooso ahịrị, r = 0.2 m
a = (0.2 m)(5 rad/s 2 ) = 1 m/s 2
(c) osooso ahịrị, r = 0.3 m
a = (0.3 m)(5 rad/s 2 ) = 1.5 m/s 2
[irp]
2. Pulley nke dị sentimita iri ise na ise n'obosara. Ọ bụrụ na osooso ahịrị nke isi ihe dị n'akụkụ pulley ahụ bụ mita abụọ n'ime abụọ , chọpụta osooso angular nke pulley ahụ!
A maara:
Redịọs (r) = 50 cm = 0,5 m
Osooso kwụ ọtọ (a) = 2 m/s 2
Achọrọ: ngwa ngwa n'akụkụ
Ngwọta:
α = a / r = 2 / 0.5 = 4 rad/s 2
3. Agụba ndị ahụ dị na igwe blender nke dị sentimita iri abụọ na ise, na mbụ mgbe ha zuru ike. Mgbe sekọnd abụọ gachara, agụba ndị ahụ na-agbagharị 10 rad/s. Chọpụta oke nke ọsọ ọsọ ahịrị (a) isi dị na sentimita iri site na etiti (b) isi dị n'ọnụ agụba ndị ahụ.
A maara:
Redịọs (r) = 20 cm = 0.2 m
Ọsọ akụkụ mbụ ( ωo ) = 0
Ọsọ akụkụ ikpeazụ ( ω t ) = 10 radians/sekọnd
Oge etiti oge (t) = sekọnd 2
Achọrọ: osooso ahịrị nke isi ihe dị na (a) r = 0.1 m (b) r = 0.2 m
Ngwọta:
ω t = ω o + α t
10 = 0 + α (2)
10 = 2 α
α = 10/2
α = 5 rad/s
(a) osooso ahịrị nke r = 0.1 m
a = r α = (0.1 m) (5 rad/s 2 ) = 0.5 m/s 2
(b) osooso ahịrị nke r = 0.2 m
a = r α = (0.2 m) (5 rad/s 2 ) = 1 m/s 2
[irp]
4. A na-eme ka wiil dị sentimita iri abụọ na radius dị ngwa ngwa maka sekọnd abụọ site na 20 rad/s ruo mgbe ọ ga-ezu ike. Chọpụta oke nke osooso ahịrị (a) isi dị sentimita iri site na etiti (b) isi dị sentimita iri site na etiti.
A maara:
Redịọs (r) = 20 cm = 0.2 m
Ọsọ akụkụ mbụ ( ω o ) = 20 rad/s
Ọsọ akụkụ ikpeazụ ( ωt ) = 0
Oge etiti oge (t) = sekọnd 2
Achọtara: Ọsọ ọsọ ahịrị (a) r = 0.1 m (b) r = 0.2 m
Ngwọta:
ω t = ω o + α t
0 = 20 + α (2)
-20 = 2 α
α = -20 / 2
α = -10 rad/s
Akara ọjọọ pụtara na ọsọ akụkụ ahụ na-ebelata.
(a) osooso ahịrị nke r = 0.1 m
a = r α = (0.1 m) (-10 rad/s 2 ) = -1 m/s 2
(b) osooso ahịrị nke r = 0.2 m
a = r α = (0.2 m) (-10 rad/s 2 ) = -2 m/s 2
[irp]
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